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138905462988 = 223223433387437
BaseRepresentation
bin1000000101011101101…
…0010010100011001100
3111021112120010122020100
42001113122102203030
54233434244303423
6143451242051100
713015130645205
oct2012732224314
9437476118210
10138905462988
1153a005702a6
1222b071a9a90
1310138ba4a66
146a1a1125ac
15392eab9343
hex20576928cc

138905462988 has 72 divisors (see below), whose sum is σ = 367235432928. Its totient is φ = 44186300928.

The previous prime is 138905462963. The next prime is 138905462989. The reversal of 138905462988 is 889264509831.

138905462988 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 0 + 546 + 2 + 9 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (138905462989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164806 + ... + 552242.

It is an arithmetic number, because the mean of its divisors is an integer number (5100492124).

Almost surely, 2138905462988 is an apocalyptic number.

138905462988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138905462988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183617716464).

138905462988 is an abundant number, since it is smaller than the sum of its proper divisors (228329969940).

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

138905462988 is a wasteful number, since it uses less digits than its factorization.

138905462988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387903 (or 387898 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 138905462988 in words is "one hundred thirty-eight billion, nine hundred five million, four hundred sixty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 433 828 866 1299 1732 2598 3897 5196 7794 9959 15588 19918 29877 39836 59754 89631 119508 179262 358524 387437 774874 1162311 1549748 2324622 3486933 4649244 6973866 8911051 13947732 17822102 26733153 35644204 53466306 80199459 106932612 160398918 167760221 320797836 335520442 503280663 671040884 1006561326 1509841989 2013122652 3019683978 3858485083 6039367956 7716970166 11575455249 15433940332 23150910498 34726365747 46301820996 69452731494 138905462988