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138278825370 = 23257317080329
BaseRepresentation
bin1000000011001000001…
…1110110110110011010
3111012220220000011000200
42000302003312312122
54231143334402440
6143305135043030
712663451423320
oct2006203666632
9435826004020
10138278825370
1153709879174
1222971370476
131006911077a
14699abd3d10
1538e4a88c30
hex20320f6d9a

138278825370 has 96 divisors (see below), whose sum is σ = 424140088320. Its totient is φ = 30587016960.

The previous prime is 138278825369. The next prime is 138278825413. The reversal of 138278825370 is 73528872831.

138278825370 is a `hidden beast` number, since 1 + 3 + 8 + 27 + 8 + 82 + 537 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3520635 + ... + 3559694.

It is an arithmetic number, because the mean of its divisors is an integer number (4418125920).

Almost surely, 2138278825370 is an apocalyptic number.

138278825370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138278825370 is an abundant number, since it is smaller than the sum of its proper divisors (285861262950).

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

138278825370 is a wasteful number, since it uses less digits than its factorization.

138278825370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7080380 (or 7080377 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 138278825370 in words is "one hundred thirty-eight billion, two hundred seventy-eight million, eight hundred twenty-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 6510 9765 19530 7080329 14160658 21240987 35401645 42481974 49562303 63722961 70803290 99124606 106204935 127445922 148686909 212409870 219490199 247811515 297373818 318614805 438980398 446060727 495623030 637229610 658470597 743434545 892121454 1097450995 1316941194 1486869090 1536431393 1975411791 2194901990 2230303635 3072862786 3292352985 3950823582 4460607270 4609294179 6584705970 7682156965 9218588358 9877058955 13827882537 15364313930 19754117910 23046470895 27655765074 46092941790 69139412685 138278825370