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138772967676 = 2237193779151197
BaseRepresentation
bin1000000100111110000…
…0110111000011111100
3111021012022211011211120
42001033200313003330
54233201334431201
6143430150150540
713011631522410
oct2011740670374
9437168734746
10138772967676
11539427a4642
1222a8a952450
13101175c4575
146a066a2d40
153923146536
hex204f8370fc

138772967676 has 384 divisors, whose sum is σ = 409883443200. Its totient is φ = 35663846400.

The previous prime is 138772967591. The next prime is 138772967677. The reversal of 138772967676 is 676769277831.

It is a self number, because there is not a number n which added to its sum of digits gives 138772967676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138772967677) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 704431210 + ... + 704431406.

It is an arithmetic number, because the mean of its divisors is an integer number (1067404800).

Almost surely, 2138772967676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138772967676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204941721600).

138772967676 is an abundant number, since it is smaller than the sum of its proper divisors (271110475524).

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

138772967676 is a wasteful number, since it uses less digits than its factorization.

138772967676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its digits is 224042112, while the sum is 69.

The spelling of 138772967676 in words is "one hundred thirty-eight billion, seven hundred seventy-two million, nine hundred sixty-seven thousand, six hundred seventy-six".