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885196840801 = 761322112
BaseRepresentation
bin11001110000110011101…
…01111101111101100001
310010121211220000200100211
430320121311331331201
5104000340342401201
61514353120214121
7120645001000000
oct14703165757541
93117756020324
10885196840801
113114565a3229
1212368276a341
136562095c400
1430bb53a0c37
151805cb4a651
hexce19d7df61

885196840801 has 63 divisors (see below), whose sum is σ = 1123604880723. Its totient is φ = 697056207120.

The previous prime is 885196840799. The next prime is 885196840813. The reversal of 885196840801 is 108048691588.

The square root of 885196840801 is 940849.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 130946278225 + 754250562576 = 361865^2 + 868476^2 .

It is not a de Polignac number, because 885196840801 - 21 = 885196840799 is a prime.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (885196840501) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 4195245586 + ... + 4195245796.

Almost surely, 2885196840801 is an apocalyptic number.

885196840801 is the 940849-th square number.

885196840801 is the 470425-th centered octagonal number.

It is an amenable number.

885196840801 is a deficient number, since it is larger than the sum of its proper divisors (238408039922).

885196840801 is an frugal number, since it uses more digits than its factorization.

885196840801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 58.

The spelling of 885196840801 in words is "eight hundred eighty-five billion, one hundred ninety-six million, eight hundred forty thousand, eight hundred one".

Divisors: 1 7 13 49 91 169 211 343 637 1183 1477 2401 2743 4459 8281 10339 16807 19201 31213 35659 44521 57967 72373 117649 134407 218491 249613 311647 405769 506611 578773 940849 1529437 1747291 2181529 2840383 3546277 4051411 6585943 7524049 12231037 15270703 19882681 24823939 28359877 46101601 52668343 85617259 106894921 198519139 322711207 368678401 599320813 748264447 1389633973 2580748807 4195245691 5237851129 9727437811 18065241649 68092064677 126456691543 885196840801