Search a number
-
+
157157258460 = 2235101223711593
BaseRepresentation
bin1001001001011101001…
…1010111010011011100
3120000122120002220201020
42102113103113103130
510033324224232320
6200110321244140
714232334440666
oct2222723272334
9500576086636
10157157258460
11607171a2394
122655b793650
1311a87326037
14786c165536
15414c10d940
hex24974d74dc

157157258460 has 96 divisors (see below), whose sum is σ = 444634166592. Its totient is φ = 41471539200.

The previous prime is 157157258443. The next prime is 157157258471. The reversal of 157157258460 is 64852751751.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13550424 + ... + 13562016.

It is an arithmetic number, because the mean of its divisors is an integer number (4631605902).

Almost surely, 2157157258460 is an apocalyptic number.

157157258460 is a gapful number since it is divisible by the number (10) 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 157157258460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222317083296).

157157258460 is an abundant number, since it is smaller than the sum of its proper divisors (287476908132).

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

157157258460 is a wasteful number, since it uses less digits than its factorization.

157157258460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13943 (or 13941 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 51.

The spelling of 157157258460 in words is "one hundred fifty-seven billion, one hundred fifty-seven million, two hundred fifty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 2237 3030 4474 6060 6711 8948 11185 11593 13422 22370 23186 26844 33555 34779 44740 46372 57965 67110 69558 115930 134220 139116 173895 225937 231860 347790 451874 677811 695580 903748 1129685 1170893 1355622 2259370 2341786 2711244 3389055 3512679 4518740 4683572 5854465 6778110 7025358 11708930 13556220 14050716 17563395 23417860 25933541 35126790 51867082 70253580 77800623 103734164 129667705 155601246 259335410 311202492 389003115 518670820 778006230 1556012460 2619287641 5238575282 7857862923 10477150564 13096438205 15715725846 26192876410 31431451692 39289314615 52385752820 78578629230 157157258460