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1639145604096 = 210337211138461
BaseRepresentation
bin10111110110100100101…
…100010000010000000000
312210200220212122012122000
4113312210230100100000
5203323432233312341
63253002454544000
7226265361514500
oct27664454202000
95720825565560
101639145604096
11582180a63210
12225816668000
13bb755c8b4a0
145949960da00
152c98809b8b6
hex17da4b10400

1639145604096 has 1056 divisors, whose sum is σ = 6634909330560. Its totient is φ = 392955494400.

The previous prime is 1639145604077. The next prime is 1639145604127. The reversal of 1639145604096 is 6904065419361.

It is a happy number.

1639145604096 is a `hidden beast` number, since 1 + 6 + 39 + 1 + 4 + 560 + 40 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×16391456040962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193725306 + ... + 193733766.

Almost surely, 21639145604096 is an apocalyptic number.

1639145604096 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 1639145604096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317454665280).

1639145604096 is an abundant number, since it is smaller than the sum of its proper divisors (4995763726464).

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

1639145604096 is a wasteful number, since it uses less digits than its factorization.

1639145604096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8528 (or 8497 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 1639145604096 in words is "one trillion, six hundred thirty-nine billion, one hundred forty-five million, six hundred four thousand, ninety-six".