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46423425504 = 25329151110431
BaseRepresentation
bin101011001111000011…
…010100000111100000
311102211022212100202210
4223033003110013200
51230033344104004
633154315042120
73232262414601
oct531703240740
9142738770683
1046423425504
11187628a4765
128bb7140340
1344baaa2261
14236571bda8
15131a8ae089
hexacf0d41e0

46423425504 has 96 divisors (see below), whose sum is σ = 126899619840. Its totient is φ = 14841792000.

The previous prime is 46423425491. The next prime is 46423425509. The reversal of 46423425504 is 40552432464.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46423425509) 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, 365169 + ... + 475599.

It is an arithmetic number, because the mean of its divisors is an integer number (1321871040).

Almost surely, 246423425504 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 46423425504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63449809920).

46423425504 is an abundant number, since it is smaller than the sum of its proper divisors (80476194336).

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

46423425504 is a wasteful number, since it uses less digits than its factorization.

46423425504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110624 (or 110616 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 46423425504 its reverse (40552432464), we get a palindrome (86975857968).

The spelling of 46423425504 in words is "forty-six billion, four hundred twenty-three million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 151 174 232 302 348 453 464 604 696 906 928 1208 1392 1812 2416 2784 3624 4379 4832 7248 8758 13137 14496 17516 26274 35032 52548 70064 105096 110431 140128 210192 220862 331293 420384 441724 662586 883448 1325172 1766896 2650344 3202499 3533792 5300688 6404998 9607497 10601376 12809996 16675081 19214994 25619992 33350162 38429988 50025243 51239984 66700324 76859976 100050486 102479968 133400648 153719952 200100972 266801296 307439904 400201944 483577349 533602592 800403888 967154698 1450732047 1600807776 1934309396 2901464094 3868618792 5802928188 7737237584 11605856376 15474475168 23211712752 46423425504