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108052370496 = 2633723616367
BaseRepresentation
bin110010010100001101…
…1000101010001000000
3101022220100121010222000
41210220123011101000
53232242401323441
6121345533144000
710543431665220
oct1445033052100
9338810533860
10108052370496
1141908823254
1218b3662b000
13a25cb5ac05
14533067c080
152c2612c2b6
hex19286c5440

108052370496 has 448 divisors, whose sum is σ = 385087733760. Its totient is φ = 29041182720.

The previous prime is 108052370479. The next prime is 108052370513. The reversal of 108052370496 is 694073250801.

108052370496 is a `hidden beast` number, since 1 + 0 + 80 + 52 + 37 + 0 + 496 = 666.

108052370496 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (108052370479) and next prime (108052370513).

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16967505 + ... + 16973871.

It is a 1-persistent number, because it is pandigital, but 2⋅108052370496 = 216104740992 is not.

Almost surely, 2108052370496 is an apocalyptic number.

108052370496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108052370496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192543866880).

108052370496 is an abundant number, since it is smaller than the sum of its proper divisors (277035363264).

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

108052370496 is a wasteful number, since it uses less digits than its factorization.

108052370496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6463 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 108052370496 in words is "one hundred eight billion, fifty-two million, three hundred seventy thousand, four hundred ninety-six".