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59434157472 = 2532514994943
BaseRepresentation
bin110111010110100011…
…010100010110100000
312200102001212000201120
4313112203110112200
51433210121014342
643145332132240
74202556001014
oct672643242640
9180361760646
1059434157472
112322a03a208
12b628467080
1357b2460a21
142c3b67c544
15182cc30aec
hexdd68d45a0

59434157472 has 96 divisors (see below), whose sum is σ = 156981888000. Its totient is φ = 19688928000.

The previous prime is 59434157467. The next prime is 59434157501. The reversal of 59434157472 is 27475143495.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 12021433 + ... + 12026375.

It is an arithmetic number, because the mean of its divisors is an integer number (1635228000).

Almost surely, 259434157472 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 59434157472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78490944000).

59434157472 is an abundant number, since it is smaller than the sum of its proper divisors (97547730528).

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

59434157472 is a wasteful number, since it uses less digits than its factorization.

59434157472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5698 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The spelling of 59434157472 in words is "fifty-nine billion, four hundred thirty-four million, one hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 251 499 502 753 998 1004 1497 1506 1996 2008 2994 3012 3992 4016 4943 5988 6024 7984 8032 9886 11976 12048 14829 15968 19772 23952 24096 29658 39544 47904 59316 79088 118632 125249 158176 237264 250498 375747 474528 500996 751494 1001992 1240693 1502988 2003984 2466557 2481386 3005976 3722079 4007968 4933114 4962772 6011952 7399671 7444158 9866228 9925544 12023904 14799342 14888316 19732456 19851088 29598684 29776632 39464912 39702176 59197368 59553264 78929824 118394736 119106528 236789472 619105807 1238211614 1857317421 2476423228 3714634842 4952846456 7429269684 9905692912 14858539368 19811385824 29717078736 59434157472