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157268648088 = 23341297187123
BaseRepresentation
bin1001001001110111110…
…0010010000010011000
3120000221022201002120000
42102131330102002120
510034041233214323
6200125340533000
714235156311046
oct2223574220230
9500838632500
10157268648088
1160774063032
1226590b51160
1311aa4426a66
14787cc7d396
154156cb2e43
hex249df12098

157268648088 has 80 divisors (see below), whose sum is σ = 440839817880. Its totient is φ = 52382184192.

The previous prime is 157268648081. The next prime is 157268648171. The reversal of 157268648088 is 880846862751.

157268648088 is a `hidden beast` number, since 1 + 5 + 72 + 6 + 8 + 6 + 480 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157268648081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 746895 + ... + 934017.

Almost surely, 2157268648088 is an apocalyptic number.

157268648088 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 157268648088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220419908940).

157268648088 is an abundant number, since it is smaller than the sum of its proper divisors (283571169792).

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

157268648088 is a wasteful number, since it uses less digits than its factorization.

157268648088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188438 (or 188425 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 157268648088 in words is "one hundred fifty-seven billion, two hundred sixty-eight million, six hundred forty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1297 2594 3891 5188 7782 10376 11673 15564 23346 31128 35019 46692 70038 93384 105057 140076 187123 210114 280152 374246 420228 561369 748492 840456 1122738 1496984 1684107 2245476 3368214 4490952 5052321 6736428 10104642 13472856 15156963 20209284 30313926 40418568 60627852 121255704 242698531 485397062 728095593 970794124 1456191186 1941588248 2184286779 2912382372 4368573558 5824764744 6552860337 8737147116 13105720674 17474294232 19658581011 26211441348 39317162022 52422882696 78634324044 157268648088