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6997622671204 = 221141726432
BaseRepresentation
bin110010111010100001011…
…0100000100011101100100
3220202222002100121011100121
41211311002310010131210
51404122112400434304
622514355151051324
71321363420206364
oct145650264043544
926688070534317
106997622671204
112258747630000
12950229810b44
133b9b46c49bb9
141a29885d89a4
15c2056b55554
hex65d42d04764

6997622671204 has 135 divisors (see below), whose sum is σ = 14331611726985. Its totient is φ = 2988979635840.

The previous prime is 6997622671201. The next prime is 6997622671219. The reversal of 6997622671204 is 4021762267996.

It is a happy number.

The square root of 6997622671204 is 2645302.

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., 5447976128100 + 1549646543104 = 2334090^2 + 1244848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6997622671201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10882772107 + ... + 10882772749.

Almost surely, 26997622671204 is an apocalyptic number.

6997622671204 is the 2645302-nd square number.

It is an amenable number.

6997622671204 is an abundant number, since it is smaller than the sum of its proper divisors (7333989055781).

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

6997622671204 is an frugal number, since it uses more digits than its factorization.

6997622671204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 61.

The spelling of 6997622671204 in words is "six trillion, nine hundred ninety-seven billion, six hundred twenty-two million, six hundred seventy-one thousand, two hundred four".

Divisors: 1 2 4 11 17 22 34 44 68 121 187 242 289 374 484 578 643 748 1156 1286 1331 2057 2572 2662 3179 4114 5324 6358 7073 8228 10931 12716 14146 14641 21862 22627 28292 29282 34969 43724 45254 58564 69938 77803 90508 120241 139876 155606 185827 240482 248897 311212 371654 384659 413449 480964 497794 743308 769318 826898 855833 995588 1322651 1538636 1653796 1711666 2044097 2645302 3423332 4088194 4231249 4547939 5290604 7028633 8176388 8462498 9095878 9414163 14057266 14549161 16924996 18191756 18828326 22485067 28114532 29098322 37656652 44970134 50027329 58196644 77314963 89940268 100054658 119486761 154629926 160040771 200109316 238973522 247335737 309259852 320081542 477947044 494671474 550300619 640163084 850464593 989342948 1100601238 1314354371 1700929186 2201202476 2628708742 2720693107 3401858372 5257417484 5441386214 6053306809 9355110523 10882772428 12106613618 14457898081 18710221046 24213227236 28915796162 37420442092 57831592324 102906215753 159036878891 205812431506 318073757782 411624863012 636147515564 1749405667801 3498811335602 6997622671204