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38972162754 = 23271761461647
BaseRepresentation
bin100100010010111011…
…000000001011000010
310201121000222222212100
4210102323000023002
51114303333202004
625523100411230
72546523626520
oct442273001302
9121530888770
1038972162754
1115589851778
127677846b16
1338a1149945
141c59c95310
151031657739
hex912ec02c2

38972162754 has 192 divisors, whose sum is σ = 104240328192. Its totient is φ = 10269849600.

The previous prime is 38972162753. The next prime is 38972162773. The reversal of 38972162754 is 45726127983.

It is a happy number.

38972162754 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 2 + 1 + 627 + 5 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 38972162754.

It is not an unprimeable number, because it can be changed into a prime (38972162753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60234859 + ... + 60235505.

It is an arithmetic number, because the mean of its divisors is an integer number (542918376).

Almost surely, 238972162754 is an apocalyptic number.

38972162754 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38972162754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52120164096).

38972162754 is an abundant number, since it is smaller than the sum of its proper divisors (65268165438).

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

38972162754 is a wasteful number, since it uses less digits than its factorization.

38972162754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1198 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 38972162754 in words is "thirty-eight billion, nine hundred seventy-two million, one hundred sixty-two thousand, seven hundred fifty-four".