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245102466412496 = 247111947143222109
BaseRepresentation
bin110111101110101101011101…
…011100011010111111010000
31012010211120022022022021102202
4313232231131130122333100
5224111224322400144441
62225142304005102332
7102425032415311130
oct6756553534327720
91163746268267382
10245102466412496
1171108410533210
12235a66000b79a8
13a69c0a93c98c4
1444750462d2ac0
151d50a2700b19b
hexdeeb5d71afd0

245102466412496 has 160 divisors (see below), whose sum is σ = 623243076556800. Its totient is φ = 90466116503040.

The previous prime is 245102466412423. The next prime is 245102466412543. The reversal of 245102466412496 is 694214664201542.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1103412290 + ... + 1103634398.

It is an arithmetic number, because the mean of its divisors is an integer number (3895269228480).

Almost surely, 2245102466412496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245102466412496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311621538278400).

245102466412496 is an abundant number, since it is smaller than the sum of its proper divisors (378140610144304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

245102466412496 is a wasteful number, since it uses less digits than its factorization.

245102466412496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269297 (or 269291 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 56.

The spelling of 245102466412496 in words is "two hundred forty-five trillion, one hundred two billion, four hundred sixty-six million, four hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 56 76 77 88 112 133 152 154 176 209 266 304 308 418 532 616 836 1064 1232 1463 1672 2128 2926 3344 5852 11704 23408 47143 94286 188572 222109 330001 377144 444218 518573 660002 754288 888436 895717 1037146 1320004 1554763 1776872 1791434 2074292 2443199 2640008 3109526 3553744 3582868 3630011 4148584 4220071 4886398 5280016 6219052 6270019 7165736 7260022 8297168 8440142 9772796 9852887 12438104 12540038 14331472 14520044 16880284 17102393 19545592 19705774 24876208 25080076 29040088 29540497 33760568 34204786 39091184 39411548 46420781 50160152 58080176 59080994 67521136 68409572 68970209 78823096 92841562 100320304 118161988 136819144 137940418 157646192 185683124 236323976 273638288 275880836 324945467 371366248 472647952 551761672 649890934 742732496 1103523344 1299781868 2599563736 5199127472 10470884587 20941769174 41883538348 73296192109 83767076696 115179730457 146592384218 167534153392 198946807153 230359460914 293184768436 397893614306 460718921828 586369536872 795787228612 806258113199 921437843656 1172739073744 1392627650071 1591574457224 1612516226398 1842875687312 2188414878683 2785255300142 3183148914448 3225032452796 4376829757366 5570510600284 6450064905592 8753659514732 11141021200568 12900129811184 15318904150781 17507319029464 22282042401136 30637808301562 35014638058928 61275616603124 122551233206248 245102466412496