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138802949748 = 223229314288807
BaseRepresentation
bin1000000101000101001…
…1001110111001110100
3111021021102020102111200
42001101103032321310
54233232023342443
6143433140532500
713012444414611
oct2012123167164
9437242212450
10138802949748
1153958712611
1222a989b1130
1310120891338
146a0a669508
153925ab9dd3
hex20514cee74

138802949748 has 72 divisors (see below), whose sum is σ = 374670266880. Its totient is φ = 43231164480.

The previous prime is 138802949723. The next prime is 138802949801. The reversal of 138802949748 is 847949208831.

138802949748 is a `hidden beast` number, since 1 + 3 + 8 + 80 + 29 + 497 + 48 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2112040 + ... + 2176767.

Almost surely, 2138802949748 is an apocalyptic number.

138802949748 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

138802949748 is an abundant number, since it is smaller than the sum of its proper divisors (235867317132).

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

138802949748 is a wasteful number, since it uses less digits than its factorization.

138802949748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288877 (or 4288872 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

It can be divided in two parts, 138802 and 949748, that added together give a triangular number (1088550 = T1475).

The spelling of 138802949748 in words is "one hundred thirty-eight billion, eight hundred two million, nine hundred forty-nine thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 31 36 58 62 87 93 116 124 174 186 261 279 348 372 522 558 899 1044 1116 1798 2697 3596 5394 8091 10788 16182 32364 4288807 8577614 12866421 17155228 25732842 38599263 51465684 77198526 124375403 132953017 154397052 248750806 265906034 373126209 398859051 497501612 531812068 746252418 797718102 1119378627 1196577153 1492504836 1595436204 2238757254 2393154306 3855637493 4477514508 4786308612 7711274986 11566912479 15422549972 23133824958 34700737437 46267649916 69401474874 138802949748