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102677394161664 = 216347172337191
BaseRepresentation
bin10111010110001001110001…
…100110110000000000000000
3111110112212022010210012120000
4113112021301212300000000
5101424231300401133124
61002213202123320000
730425124355051530
oct2726116146600000
9443485263705500
10102677394161664
112a797269234733
12b623697680000
13453a58a63413a
141b4d88059d4c0
15bd0d1be536c9
hex5d62719b0000

102677394161664 has 2720 divisors, whose sum is σ = 399899206434816. Its totient is φ = 25561934069760.

The previous prime is 102677394161659. The next prime is 102677394161669. The reversal of 102677394161664 is 466161493776201.

102677394161664 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 7 + 7 + 3 + 9 + 4 + 1 + 616 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (102677394161659) and next prime (102677394161669).

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

It is not an unprimeable number, because it can be changed into a prime (102677394161669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 537577979809 + ... + 537577979999.

Almost surely, 2102677394161664 is an apocalyptic number.

102677394161664 is a gapful number since it is divisible by the number (14) 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 102677394161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199949603217408).

102677394161664 is an abundant number, since it is smaller than the sum of its proper divisors (297221812273152).

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

102677394161664 is an equidigital number, since it uses as much as digits as its factorization.

102677394161664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 102677394161664 in words is "one hundred two trillion, six hundred seventy-seven billion, three hundred ninety-four million, one hundred sixty-one thousand, six hundred sixty-four".