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51672410412 = 223721915113061
BaseRepresentation
bin110000000111111010…
…100110100100101100
311221101010202102102020
4300013322212210230
51321311114113122
635423223030140
73506330145600
oct600772464454
9157333672366
1051672410412
111aa06801817
12a020b9b350
134b463a949c
1427028b3500
1515265e8c5c
hexc07ea692c

51672410412 has 144 divisors (see below), whose sum is σ = 147781428480. Its totient is φ = 13972694400.

The previous prime is 51672410407. The next prime is 51672410417. The reversal of 51672410412 is 21401427615.

It is an interprime number because it is at equal distance from previous prime (51672410407) and next prime (51672410417).

It is not an unprimeable number, because it can be changed into a prime (51672410417) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16879362 + ... + 16882422.

It is an arithmetic number, because the mean of its divisors is an integer number (1026259920).

Almost surely, 251672410412 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 51672410412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73890714240).

51672410412 is an abundant number, since it is smaller than the sum of its proper divisors (96109018068).

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

51672410412 is a wasteful number, since it uses less digits than its factorization.

51672410412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4603 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 51672410412 in words is "fifty-one billion, six hundred seventy-two million, four hundred ten thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1511 1596 1862 2793 3022 3061 3724 4533 5586 6044 6122 9066 9183 10577 11172 12244 18132 18366 21154 21427 28709 31731 36732 42308 42854 57418 58159 63462 64281 74039 85708 86127 114836 116318 126924 128562 148078 149989 172254 174477 200963 222117 232636 257124 296156 299978 344508 348954 401926 407113 444234 449967 599956 602889 697908 803852 814226 888468 899934 1205778 1221339 1406741 1628452 1799868 2411556 2442678 2813482 2849791 4220223 4625171 4885356 5626964 5699582 8440446 8549373 9250342 11399164 13875513 16880892 17098746 18500684 27751026 32376197 34197492 55502052 64752394 87878249 97128591 129504788 175756498 194257182 226633379 263634747 351512996 388514364 453266758 527269494 615147743 679900137 906533516 1054538988 1230295486 1359800274 1845443229 2460590972 2719600548 3690886458 4306034201 7381772916 8612068402 12918102603 17224136804 25836205206 51672410412