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138737884248 = 23328921650731
BaseRepresentation
bin1000000100110101101…
…1000001110001011000
3111021002212210202102100
42001031123001301120
54233113344243443
6143422454203400
713011024362355
oct2011533016130
9437085722370
10138737884248
1153924a11977
1222a7b053560
131011025c842
146a01b6d62c
1539200163d3
hex204d6c1c58

138737884248 has 48 divisors (see below), whose sum is σ = 379970346600. Its totient is φ = 45726341760.

The previous prime is 138737884247. The next prime is 138737884267. The reversal of 138737884248 is 842488737831.

It is a happy number.

138737884248 is a `hidden beast` number, since 1 + 387 + 3 + 7 + 8 + 8 + 4 + 248 = 666.

138737884248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1387378842482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138737884247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10818958 + ... + 10831773.

Almost surely, 2138737884248 is an apocalyptic number.

138737884248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138737884248 is an abundant number, since it is smaller than the sum of its proper divisors (241232462352).

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

138737884248 is a wasteful number, since it uses less digits than its factorization.

138737884248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21650832 (or 21650825 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 138737884248 in words is "one hundred thirty-eight billion, seven hundred thirty-seven million, eight hundred eighty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 21650731 43301462 64952193 86602924 129904386 173205848 194856579 259808772 389713158 519617544 779426316 1558852632 1926915059 3853830118 5780745177 7707660236 11561490354 15415320472 17342235531 23122980708 34684471062 46245961416 69368942124 138737884248