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10151938038 = 23111012276709
BaseRepresentation
bin10010111010001101…
…00100011111110110
3222012111122212221010
421131012210133312
5131242344004123
64355211133050
7506401022664
oct113506443766
928174585833
1010151938038
11433a560340
121b73a44186
13c5a317538
146c43d3c34
153e63c1993
hex25d1a47f6

10151938038 has 64 divisors (see below), whose sum is σ = 22470877440. Its totient is φ = 3032016000.

The previous prime is 10151938033. The next prime is 10151938039. The reversal of 10151938038 is 83083915101.

It is a junction number, because it is equal to n+sod(n) for n = 10151937987 and 10151938005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10151938033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1509828 + ... + 1516536.

It is an arithmetic number, because the mean of its divisors is an integer number (351107460).

Almost surely, 210151938038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10151938038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11235438720).

10151938038 is an abundant number, since it is smaller than the sum of its proper divisors (12318939402).

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

10151938038 is a wasteful number, since it uses less digits than its factorization.

10151938038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053.

The product of its (nonzero) digits is 25920, while the sum is 39.

The spelling of 10151938038 in words is "ten billion, one hundred fifty-one million, nine hundred thirty-eight thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 101 202 227 303 454 606 681 1111 1362 2222 2497 3333 4994 6666 6709 7491 13418 14982 20127 22927 40254 45854 68781 73799 137562 147598 221397 252197 442794 504394 677609 756591 1355218 1513182 1522943 2032827 3045886 4065654 4568829 7453699 9137658 14907398 16752373 22361097 33504746 44722194 50257119 100514238 153817243 307634486 461451729 922903458 1691989673 3383979346 5075969019 10151938038