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138357975510 = 232513711221247
BaseRepresentation
bin1000000011011011000…
…1110010100111010110
3111020010101221101121100
42000312301302213112
54231324120204020
6143321043330530
712665432246616
oct2006661624726
9436111841540
10138357975510
115374a519907
1222993980a46
131007c634081
1469a7518a46
1538eb9c0a90
hex2036c729d6

138357975510 has 48 divisors (see below), whose sum is σ = 362356540416. Its totient is φ = 36626146944.

The previous prime is 138357975499. The next prime is 138357975521. The reversal of 138357975510 is 15579753831.

It is a happy number.

138357975510 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 57 + 9 + 75 + 510 = 666.

It is an interprime number because it is at equal distance from previous prime (138357975499) and next prime (138357975521).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5598294 + ... + 5622953.

It is an arithmetic number, because the mean of its divisors is an integer number (7549094592).

Almost surely, 2138357975510 is an apocalyptic number.

138357975510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138357975510 is an abundant number, since it is smaller than the sum of its proper divisors (223998564906).

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

138357975510 is a wasteful number, since it uses less digits than its factorization.

138357975510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11221397 (or 11221394 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 138357975510 in words is "one hundred thirty-eight billion, three hundred fifty-seven million, nine hundred seventy-five thousand, five hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137 274 411 685 822 1233 1370 2055 2466 4110 6165 12330 11221247 22442494 33663741 56106235 67327482 100991223 112212470 168318705 201982446 336637410 504956115 1009912230 1537310839 3074621678 4611932517 7686554195 9223865034 13835797551 15373108390 23059662585 27671595102 46119325170 69178987755 138357975510