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70369817919440 = 24513769105183719
BaseRepresentation
bin10000000000000000111111…
…111111111111111111010000
3100020011021210121021120211212
4100000000333333333333100
533210414341341410230
6405355240440555252
720552023455053054
oct2000007777777720
9306137717246755
1070369817919440
1120470743750696
127a86185782b28
133035acb32b080
141353cbb343c64
158207317ea895
hex40003fffffd0

70369817919440 has 160 divisors (see below), whose sum is σ = 176594293075200. Its totient is φ = 25923914956800.

The previous prime is 70369817919439. The next prime is 70369817919487. The reversal of 70369817919440 is 4491971896307.

It is a super-2 number, since 2×703698179194402 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

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, 840505901 + ... + 840589619.

It is an arithmetic number, because the mean of its divisors is an integer number (1103714331720).

Almost surely, 270369817919440 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 70369817919440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88297146537600).

70369817919440 is an abundant number, since it is smaller than the sum of its proper divisors (106224475155760).

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

70369817919440 is a wasteful number, since it uses less digits than its factorization.

70369817919440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85565 (or 85559 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 68.

The spelling of 70369817919440 in words is "seventy trillion, three hundred sixty-nine billion, eight hundred seventeen million, nine hundred nineteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 769 1040 1051 1538 2102 3076 3845 4204 5255 6152 7690 8408 9997 10510 12304 13663 15380 16816 19994 21020 27326 30760 39988 42040 49985 54652 61520 68315 79976 83719 84080 99970 109304 136630 159952 167438 199940 218608 273260 334876 399880 418595 546520 669752 799760 808219 837190 1088347 1093040 1339504 1616438 1674380 2176694 3232876 3348760 4041095 4353388 5441735 6465752 6697520 8082190 8706776 10506847 10883470 12931504 16164380 17413552 21013694 21766940 32328760 42027388 43533880 52534235 64379911 64657520 84054776 87067760 87988669 105068470 128759822 168109552 175977338 210136940 257519644 321899555 351954676 420273880 439943345 515039288 643799110 703909352 836938843 840547760 879886690 1030078576 1143852697 1287598220 1407818704 1673877686 1759773380 2287705394 2575196440 3347755372 3519546760 4184694215 4575410788 5150392880 5719263485 6695510744 7039093520 8369388430 9150821576 11438526970 13391021488 16738776860 18301643152 22877053940 33477553720 45754107880 66955107440 67663286461 91508215760 135326572922 270653145844 338316432305 541306291688 676632864610 879622723993 1082612583376 1353265729220 1759245447986 2706531458440 3518490895972 4398113619965 5413062916880 7036981791944 8796227239930 14073963583888 17592454479860 35184908959720 70369817919440