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32053345504 = 2517292031779
BaseRepresentation
bin11101110110100001…
…110011110011100000
310001201212000122212121
4131312201303303200
51011121124024004
622420342234024
72213211640615
oct356641636340
9101655018777
1032053345504
1112659306994
126266725914
13303a8c953b
1417a102c50c
15c79027854
hex776873ce0

32053345504 has 48 divisors (see below), whose sum is σ = 69121155600. Its totient is φ = 14563784704.

The previous prime is 32053345501. The next prime is 32053345507. The reversal of 32053345504 is 40554335023.

It is an interprime number because it is at equal distance from previous prime (32053345501) and next prime (32053345507).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 32053345504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32053345501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000114 + ... + 1031665.

It is an arithmetic number, because the mean of its divisors is an integer number (1440024075).

Almost surely, 232053345504 is an apocalyptic number.

32053345504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

32053345504 is an abundant number, since it is smaller than the sum of its proper divisors (37067810096).

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

32053345504 is a wasteful number, since it uses less digits than its factorization.

32053345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031835 (or 2031827 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 34.

The spelling of 32053345504 in words is "thirty-two billion, fifty-three million, three hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15776 2031779 4063558 8127116 16254232 32508464 34540243 58921591 65016928 69080486 117843182 138160972 235686364 276321944 471372728 552643888 942745456 1001667047 1105287776 1885490912 2003334094 4006668188 8013336376 16026672752 32053345504