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377940401068032 = 21132112232320339
BaseRepresentation
bin101010111101111000001101…
…1010110100001100000000000
31211120011202020101001022200100
41111323300123112201200000
5344014133420133134112
63415451231235522400
7142415202314545245
oct12573603326414000
91746152211038610
10377940401068032
11aa472695576100
123647b46b759400
13132b681c39c24a
1469485ad4495cc
152da616cd8c2dc
hex157bc1b5a1800

377940401068032 has 648 divisors, whose sum is σ = 1254253154345100. Its totient is φ = 109547600363520.

The previous prime is 377940401068003. The next prime is 377940401068039. The reversal of 377940401068032 is 230860104049773.

377940401068032 is a `hidden beast` number, since 3 + 77 + 94 + 0 + 401 + 0 + 6 + 80 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 377940401068032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377940401068039) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1179653719 + ... + 1179974057.

Almost surely, 2377940401068032 is an apocalyptic number.

377940401068032 is a gapful number since it is divisible by the number (32) 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 377940401068032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627126577172550).

377940401068032 is an abundant number, since it is smaller than the sum of its proper divisors (876312753277068).

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

377940401068032 is a wasteful number, since it uses less digits than its factorization.

377940401068032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320435 (or 320378 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 377940401068032 in words is "three hundred seventy-seven trillion, nine hundred forty billion, four hundred one million, sixty-eight thousand, thirty-two".