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861921477152 = 2533724872
BaseRepresentation
bin11001000101011101000…
…01100000001000100000
310001101202210022200212022
430202232201200020200
5103110203344232102
61455543344321012
7116162134446641
oct14425641401040
93041683280768
10861921477152
113025a2226aaa
1211b067913168
1363381819c98
142da080b36c8
15176495965a2
hexc8ae860220

861921477152 has 54 divisors (see below), whose sum is σ = 1705460141637. Its totient is φ = 428799619584.

The previous prime is 861921477133. The next prime is 861921477167. The reversal of 861921477152 is 251774129168.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 813466901776 + 48454575376 = 901924^2 + 220124^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=656476.

It is a super-2 number, since 2×8619214771522 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 861921477094 and 861921477103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1769859053 + ... + 1769859539.

Almost surely, 2861921477152 is an apocalyptic number.

It is an amenable number.

861921477152 is a deficient number, since it is larger than the sum of its proper divisors (843538664485).

861921477152 is an frugal number, since it uses more digits than its factorization.

861921477152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1658 (or 826 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 53.

The spelling of 861921477152 in words is "eight hundred sixty-one billion, nine hundred twenty-one million, four hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 337 487 674 974 1348 1948 2696 3896 5392 7792 10784 15584 113569 164119 227138 237169 328238 454276 474338 656476 908552 948676 1312952 1817104 1897352 2625904 3634208 3794704 5251808 7589408 55308103 79925953 110616206 159851906 221232412 319703812 442464824 639407624 884929648 1278815248 1769859296 2557630496 26935046161 53870092322 107740184644 215480369288 430960738576 861921477152