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46006045536 = 2531188149451
BaseRepresentation
bin101010110110001011…
…001000101101100000
311101202020111021002110
4222312023020231200
51223210021424121
633045045115320
73216033635433
oct526613105540
9141666437073
1046006045536
1118569238a40
128abb3b8b40
134452486c69
14232611181a
1512e3e15d76
hexab62c8b60

46006045536 has 96 divisors (see below), whose sum is σ = 131896791936. Its totient is φ = 13925120000.

The previous prime is 46006045531. The next prime is 46006045537. The reversal of 46006045536 is 63554060064.

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

It is a junction number, because it is equal to n+sod(n) for n = 46006045494 and 46006045503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46006045531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905611 + ... + 955061.

It is an arithmetic number, because the mean of its divisors is an integer number (1373924916).

Almost surely, 246006045536 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 46006045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65948395968).

46006045536 is an abundant number, since it is smaller than the sum of its proper divisors (85890746400).

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

46006045536 is a wasteful number, since it uses less digits than its factorization.

46006045536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50356 (or 50348 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 46006045536 in words is "forty-six billion, six million, forty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 881 1056 1762 2643 3524 5286 7048 9691 10572 14096 19382 21144 28192 29073 38764 42288 49451 58146 77528 84576 98902 116292 148353 155056 197804 232584 296706 310112 395608 465168 543961 593412 791216 930336 1087922 1186824 1582432 1631883 2175844 2373648 3263766 4351688 4747296 6527532 8703376 13055064 17406752 26110128 43566331 52220256 87132662 130698993 174265324 261397986 348530648 479229641 522795972 697061296 958459282 1045591944 1394122592 1437688923 1916918564 2091183888 2875377846 3833837128 4182367776 5750755692 7667674256 11501511384 15335348512 23003022768 46006045536