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30791124676 = 221321723972
BaseRepresentation
bin11100101011010010…
…110100011011000100
32221110212221012102001
4130223102310123010
51001030011442201
622051212355044
72140014145534
oct345322643304
987425835361
1030791124676
1112070872784
125b73a75a84
132b9925b300
1416c15434c4
15c032eb301
hex72b4b46c4

30791124676 has 81 divisors (see below), whose sum is σ = 62138938869. Its totient is φ = 13341639168.

The previous prime is 30791124653. The next prime is 30791124713. The reversal of 30791124676 is 67642119703.

The square root of 30791124676 is 175474.

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

It can be written as a sum of positive squares in 13 ways, for example, as 12989160900 + 17801963776 = 113970^2 + 133424^2 .

It is a super-2 number, since 2×307911246762 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77559310 + ... + 77559706.

Almost surely, 230791124676 is an apocalyptic number.

30791124676 is the 175474-th square number.

It is an amenable number.

30791124676 is an abundant number, since it is smaller than the sum of its proper divisors (31347814193).

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

30791124676 is a wasteful number, since it uses less digits than its factorization.

30791124676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 30791124676 in words is "thirty billion, seven hundred ninety-one million, one hundred twenty-four thousand, six hundred seventy-six".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 289 338 397 442 578 676 794 884 1156 1588 2873 3757 5161 5746 6749 7514 10322 11492 13498 15028 20644 26996 48841 67093 87737 97682 114733 134186 157609 175474 195364 229466 268372 315218 350948 458932 630436 1140581 1491529 2048917 2281162 2679353 2983058 4097834 4562324 5358706 5966116 8195668 10717412 19389877 26635921 34831589 38779754 45549001 53271842 69663178 77559508 91098002 106543684 139326356 182196004 452810657 592137013 905621314 1184274026 1811242628 2368548052 7697781169 15395562338 30791124676