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70448904144 = 24334322916561
BaseRepresentation
bin100000110011100010…
…1001111011111010000
320201211201001010121000
41001213011033133100
52123234404413034
652210324302000
75042534543043
oct1014705173720
9221751033530
1070448904144
112797162a433
12117a1241900
13684944c5c8
1435a44aac5a
151c74c34599
hex106714f7d0

70448904144 has 160 divisors (see below), whose sum is σ = 207833225600. Its totient is φ = 22835312640.

The previous prime is 70448904139. The next prime is 70448904151. The reversal of 70448904144 is 44140984407.

It is a self number, because there is not a number n which added to its sum of digits gives 70448904144.

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, 4245624 + ... + 4262184.

It is an arithmetic number, because the mean of its divisors is an integer number (1298957660).

Almost surely, 270448904144 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 70448904144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103916612800).

70448904144 is an abundant number, since it is smaller than the sum of its proper divisors (137384321456).

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

70448904144 is a wasteful number, since it uses less digits than its factorization.

70448904144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16850 (or 16838 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 70448904144 in words is "seventy billion, four hundred forty-eight million, nine hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 229 258 344 387 432 458 516 687 688 774 916 1032 1161 1374 1548 1832 2061 2064 2322 2748 3096 3664 4122 4644 5496 6183 6192 8244 9288 9847 10992 12366 16488 16561 18576 19694 24732 29541 32976 33122 39388 49464 49683 59082 66244 78776 88623 98928 99366 118164 132488 149049 157552 177246 198732 236328 264976 265869 298098 354492 397464 447147 472656 531738 596196 708984 712123 794928 894294 1063476 1192392 1417968 1424246 1788588 2126952 2136369 2384784 2848492 3577176 3792469 4253904 4272738 5696984 6409107 7154352 7584938 8545476 11377407 11393968 12818214 15169876 17090952 19227321 22754814 25636428 30339752 34132221 34181904 38454642 45509628 51272856 60679504 68264442 76909284 91019256 102396663 102545712 136528884 153818568 163076167 182038512 204793326 273057768 307637136 326152334 409586652 489228501 546115536 652304668 819173304 978457002 1304609336 1467685503 1638346608 1956914004 2609218672 2935371006 3913828008 4403056509 5870742012 7827656016 8806113018 11741484024 17612226036 23482968048 35224452072 70448904144