Search a number
-
+
157234050864 = 243211331299891
BaseRepresentation
bin1001001001101111100…
…0010011011100110000
3120000211220121101002100
42102123320103130300
510034003404111424
6200122103220400
714234256244362
oct2223370233460
9500756541070
10157234050864
1160756582690
1226581447700
1311a9a202427
147878434d32
154153c2bdc9
hex249be13730

157234050864 has 120 divisors (see below), whose sum is σ = 481492200384. Its totient is φ = 47502576000.

The previous prime is 157234050763. The next prime is 157234050907. The reversal of 157234050864 is 468050432751.

157234050864 is a `hidden beast` number, since 1 + 57 + 2 + 34 + 0 + 508 + 64 = 666.

It is a super-2 number, since 2×1572340508642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374359 + ... + 674249.

Almost surely, 2157234050864 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 157234050864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240746100192).

157234050864 is an abundant number, since it is smaller than the sum of its proper divisors (324258149520).

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

157234050864 is a wasteful number, since it uses less digits than its factorization.

157234050864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300247 (or 300238 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 157234050864 in words is "one hundred fifty-seven billion, two hundred thirty-four million, fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 331 396 528 662 792 993 1324 1584 1986 2648 2979 3641 3972 5296 5958 7282 7944 10923 11916 14564 15888 21846 23832 29128 32769 43692 47664 58256 65538 87384 131076 174768 262152 299891 524304 599782 899673 1199564 1799346 2399128 2699019 3298801 3598692 4798256 5398038 6597602 7197384 9896403 10796076 13195204 14394768 19792806 21592152 26390408 29689209 39585612 43184304 52780816 59378418 79171224 99263921 118756836 158342448 198527842 237513672 297791763 397055684 475027344 595583526 794111368 893375289 1091903131 1191167052 1588222736 1786750578 2183806262 2382334104 3275709393 3573501156 4367612524 4764668208 6551418786 7147002312 8735225048 9827128179 13102837572 14294004624 17470450096 19654256358 26205675144 39308512716 52411350288 78617025432 157234050864