Search a number
-
+
157026109885938 = 232127115159678833
BaseRepresentation
bin100011101101000001111101…
…100000000000110111110010
3202120222112211120210101220100
4203231001331200000313302
5131040203433112322223
61313544444331053230
745034522246324206
oct4355017540006762
9676875746711810
10157026109885938
1146040443406337
12157408665a1216
136980663630397
142aac16618cb06
151324921e8b043
hex8ed07d800df2

157026109885938 has 48 divisors (see below), whose sum is σ = 343200083705856. Its totient is φ = 51884776540800.

The previous prime is 157026109885933. The next prime is 157026109885979. The reversal of 157026109885938 is 839588901620751.

157026109885938 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 26 + 1 + 0 + 9 + 8 + 8 + 593 + 8 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (157026109885933) 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, 27208231 + ... + 32470602.

It is an arithmetic number, because the mean of its divisors is an integer number (7150001743872).

Almost surely, 2157026109885938 is an apocalyptic number.

157026109885938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

157026109885938 is an abundant number, since it is smaller than the sum of its proper divisors (186173973819918).

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

157026109885938 is a wasteful number, since it uses less digits than its factorization.

157026109885938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59680119 (or 59680116 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 72.

The spelling of 157026109885938 in words is "one hundred fifty-seven trillion, twenty-six billion, one hundred nine million, eight hundred eighty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 127 254 381 762 1143 1151 2286 2302 3453 6906 10359 20718 146177 292354 438531 877062 1315593 2631186 59678833 119357666 179036499 358072998 537109497 1074218994 7579211791 15158423582 22737635373 45475270746 68212906119 68690336783 136425812238 137380673566 206071010349 412142020698 618213031047 1236426062094 8723672771441 17447345542882 26171018314323 52342036628646 78513054942969 157026109885938