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7875201138 = 237376183077
BaseRepresentation
bin1110101010110011…
…00000100001110010
3202022211120200001020
413111121200201302
5112112022414023
63341240520310
7366104051040
oct72531404162
922284520036
107875201138
1133813891a2
121639480096
13986728b3c
14549c9d390
15311597de3
hex1d5660872

7875201138 has 64 divisors (see below), whose sum is σ = 18790249728. Its totient is φ = 2153329920.

The previous prime is 7875201121. The next prime is 7875201163. The reversal of 7875201138 is 8311025787.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 7875201138.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53256 + ... + 136332.

It is an arithmetic number, because the mean of its divisors is an integer number (293597652).

Almost surely, 27875201138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7875201138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9395124864).

7875201138 is an abundant number, since it is smaller than the sum of its proper divisors (10915048590).

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

7875201138 is a wasteful number, since it uses less digits than its factorization.

7875201138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83187.

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 7875201138 is about 88742.3300235012. The cubic root of 7875201138 is about 1989.5455422084.

It can be divided in two parts, 787 and 5201138, that added together give a triangular number (5201925 = T3225).

The spelling of 7875201138 in words is "seven billion, eight hundred seventy-five million, two hundred one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 37 42 61 74 111 122 183 222 259 366 427 518 777 854 1281 1554 2257 2562 4514 6771 13542 15799 31598 47397 83077 94794 166154 249231 498462 581539 1163078 1744617 3073849 3489234 5067697 6147698 9221547 10135394 15203091 18443094 21516943 30406182 35473879 43033886 64550829 70947758 106421637 129101658 187504789 212843274 375009578 562514367 1125028734 1312533523 2625067046 3937600569 7875201138