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378652807680 = 2935721636173
BaseRepresentation
bin1011000001010010111…
…01110101001000000000
31100012100222001122022020
411200221131311020000
522200440104321210
6445541203441440
736233240521500
oct5405135651000
91305328048266
10378652807680
111366497028a4
1261476086280
1329925b142b4
1414480dd3a00
159cb2769770
hex5829775200

378652807680 has 480 divisors, whose sum is σ = 1417007680704. Its totient is φ = 86004301824.

The previous prime is 378652807667. The next prime is 378652807691. The reversal of 378652807680 is 86708256873.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61337074 + ... + 61343246.

Almost surely, 2378652807680 is an apocalyptic number.

378652807680 is a gapful number since it is divisible by the number (30) 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 378652807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708503840352).

378652807680 is an abundant number, since it is smaller than the sum of its proper divisors (1038354873024).

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

378652807680 is a wasteful number, since it uses less digits than its factorization.

378652807680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6353 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 378652807680 in words is "three hundred seventy-eight billion, six hundred fifty-two million, eight hundred seven thousand, six hundred eighty".