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621234040032 = 253214291509491
BaseRepresentation
bin10010000101001000110…
…11110010110011100000
32012101111212110001102100
421002210123302303200
540134241403240112
61153220241250400
762611521133164
oct11024433626340
92171455401370
10621234040032
1121a511469111
12a0496033a00
1346774bb7438
14220d43daca4
151125e0ea2dc
hex90a46f2ce0

621234040032 has 72 divisors (see below), whose sum is σ = 1767871745640. Its totient is φ = 206932965120.

The previous prime is 621234040013. The next prime is 621234040081. The reversal of 621234040032 is 230040432126.

621234040032 is a `hidden beast` number, since 6 + 21 + 234 + 0 + 400 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6212340400322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 621234039978 and 621234040005.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 343194 + ... + 1166297.

It is an arithmetic number, because the mean of its divisors is an integer number (24553774245).

Almost surely, 2621234040032 is an apocalyptic number.

It is an amenable number.

621234040032 is an abundant number, since it is smaller than the sum of its proper divisors (1146637705608).

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

621234040032 is a wasteful number, since it uses less digits than its factorization.

621234040032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510936 (or 1510925 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 621234040032 its reverse (230040432126), we get a palindrome (851274472158).

The spelling of 621234040032 in words is "six hundred twenty-one billion, two hundred thirty-four million, forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1429 2858 4287 5716 8574 11432 12861 17148 22864 25722 34296 45728 51444 68592 102888 137184 205776 411552 1509491 3018982 4528473 6037964 9056946 12075928 13585419 18113892 24151856 27170838 36227784 48303712 54341676 72455568 108683352 144911136 217366704 434733408 2157062639 4314125278 6471187917 8628250556 12942375834 17256501112 19413563751 25884751668 34513002224 38827127502 51769503336 69026004448 77654255004 103539006672 155308510008 207078013344 310617020016 621234040032