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32002000032 = 253794219673
BaseRepresentation
bin11101110011011101…
…111100010010100000
310001121021102001010110
4131303131330102200
51011020003000112
622411305531320
72212016340432
oct356335742240
9101537361113
1032002000032
1112632327312
1262514a3b40
13303008c8c2
1417982a4652
15c7478413c
hex77377c4a0

32002000032 has 48 divisors (see below), whose sum is σ = 85068627840. Its totient is φ = 10532301312.

The previous prime is 32001999973. The next prime is 32002000033. The reversal of 32002000032 is 23000020023.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 32001999981 and 32002000017.

It is not an unprimeable number, because it can be changed into a prime (32002000033) 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, 2102253 + ... + 2117420.

It is an arithmetic number, because the mean of its divisors is an integer number (1772263080).

Almost surely, 232002000032 is an apocalyptic number.

32002000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32002000032 is an abundant number, since it is smaller than the sum of its proper divisors (53066627808).

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

32002000032 is a wasteful number, since it uses less digits than its factorization.

32002000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219765 (or 4219757 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 32002000032 its reverse (23000020023), we get a palindrome (55002020055).

The spelling of 32002000032 in words is "thirty-two billion, two million, thirty-two", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 632 948 1264 1896 2528 3792 7584 4219673 8439346 12659019 16878692 25318038 33757384 50636076 67514768 101272152 135029536 202544304 333354167 405088608 666708334 1000062501 1333416668 2000125002 2666833336 4000250004 5333666672 8000500008 10667333344 16001000016 32002000032