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1933108125696 = 213371117577
BaseRepresentation
bin11100001000010110001…
…110010010000000000000
320211210200121222120000000
4130020112032102000000
5223133001140010241
64040020240000000
7256443135645246
oct34102616220000
96753617876000
101933108125696
11685910160640
12272796000000
131103a302b467
14697c4988796
15354406bceb6
hex1c216392000

1933108125696 has 896 divisors, whose sum is σ = 6708862091520. Its totient is φ = 550376570880.

The previous prime is 1933108125661. The next prime is 1933108125703. The reversal of 1933108125696 is 6965218013391.

1933108125696 is a `hidden beast` number, since 193 + 310 + 8 + 1 + 2 + 56 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3350273760 + ... + 3350274336.

Almost surely, 21933108125696 is an apocalyptic number.

1933108125696 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 1933108125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354431045760).

1933108125696 is an abundant number, since it is smaller than the sum of its proper divisors (4775753965824).

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

1933108125696 is an frugal number, since it uses more digits than its factorization.

1933108125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1933108125696 in words is "one trillion, nine hundred thirty-three billion, one hundred eight million, one hundred twenty-five thousand, six hundred ninety-six".