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20415533456112 = 24319792767102407
BaseRepresentation
bin1001010010001010111001…
…00111101001101011110000
32200021201001121222012112220
410221011130213221223300
510133442003031043422
6111230433330121040
74204654644100644
oct451053447515360
980251047865486
1020415533456112
1165611a7449973
122358800a20180
13b5123ab38312
1450818d428c24
152560c5319e5c
hex12915c9e9af0

20415533456112 has 160 divisors (see below), whose sum is σ = 56239524249600. Its totient is φ = 6363040230144.

The previous prime is 20415533456111. The next prime is 20415533456161. The reversal of 20415533456112 is 21165433551402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20415533456111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199305613 + ... + 199408019.

It is an arithmetic number, because the mean of its divisors is an integer number (351497026560).

Almost surely, 220415533456112 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 20415533456112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28119762124800).

20415533456112 is an abundant number, since it is smaller than the sum of its proper divisors (35823990793488).

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

20415533456112 is a wasteful number, since it uses less digits than its factorization.

20415533456112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105283 (or 105277 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 20415533456112 in words is "twenty trillion, four hundred fifteen billion, five hundred thirty-three million, four hundred fifty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 79 114 152 158 228 237 304 316 456 474 632 912 948 1264 1501 1896 2767 3002 3792 4503 5534 6004 8301 9006 11068 12008 16602 18012 22136 24016 33204 36024 44272 52573 66408 72048 102407 105146 132816 157719 204814 210292 218593 307221 315438 409628 420584 437186 614442 630876 655779 819256 841168 874372 1228884 1261752 1311558 1638512 1748744 1945733 2457768 2523504 2623116 3497488 3891466 4153267 4915536 5246232 5837199 7782932 8090153 8306534 10492464 11674398 12459801 15565864 16180306 16613068 23348796 24270459 24919602 31131728 32360612 33226136 46697592 48540918 49839204 64721224 66452272 93395184 97081836 99678408 129442448 153712907 194163672 199356816 283360169 307425814 388327344 461138721 566720338 614851628 850080507 922277442 1133440676 1229703256 1700161014 1844554884 2266881352 2459406512 3400322028 3689109768 4533762704 5383843211 6800644056 7378219536 10767686422 13601288112 16151529633 21535372844 22385453351 32303059266 43070745688 44770906702 64606118532 67156360053 86141491376 89541813404 129212237064 134312720106 179083626808 258424474128 268625440212 358167253616 425323613669 537250880424 850647227338 1074501760848 1275970841007 1701294454676 2551941682014 3402588909352 5103883364028 6805177818704 10207766728056 20415533456112