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373672903968 = 253573132829
BaseRepresentation
bin1010111000000001010…
…01000000010100100000
31022201111220111022200000
411130000221000110200
522110240230411333
6443355111100000
735665651164000
oct5340051002440
91281456438600
10373672903968
111345236814a1
1260506371600
13293111a0900
141412b884000
159ac0482713
hex5700a40520

373672903968 has 864 divisors, whose sum is σ = 1393256592000. Its totient is φ = 98432216064.

The previous prime is 373672903957. The next prime is 373672903973. The reversal of 373672903968 is 869309276373.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 450750978 + ... + 450751806.

It is an arithmetic number, because the mean of its divisors is an integer number (1612565500).

Almost surely, 2373672903968 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 373672903968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696628296000).

373672903968 is an abundant number, since it is smaller than the sum of its proper divisors (1019583688032).

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

373672903968 is an equidigital number, since it uses as much as digits as its factorization.

373672903968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 373672903968 in words is "three hundred seventy-three billion, six hundred seventy-two million, nine hundred three thousand, nine hundred sixty-eight".