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157457455540 = 225721125158193
BaseRepresentation
bin1001001010100100110…
…0100001100110110100
3120001102110222111200121
42102221030201212310
510034433102034130
6200200203421324
714242641201100
oct2225114414664
9501373874617
10157457455540
11608606a0950
1226624224844
1311b04592748
147899d8a900
15416865ad7a
hex24a93219b4

157457455540 has 144 divisors (see below), whose sum is σ = 421292902464. Its totient is φ = 48881280000.

The previous prime is 157457455531. The next prime is 157457455549. The reversal of 157457455540 is 45554754751.

It is an interprime number because it is at equal distance from previous prime (157457455531) and next prime (157457455549).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157457455549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2676684 + ... + 2734876.

It is an arithmetic number, because the mean of its divisors is an integer number (2925645156).

Almost surely, 2157457455540 is an apocalyptic number.

157457455540 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 157457455540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210646451232).

157457455540 is an abundant number, since it is smaller than the sum of its proper divisors (263835446924).

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

157457455540 is a wasteful number, since it uses less digits than its factorization.

157457455540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58478 (or 58469 counting only the distinct ones).

The product of its (nonzero) digits is 9800000, while the sum is 52.

The spelling of 157457455540 in words is "one hundred fifty-seven billion, four hundred fifty-seven million, four hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 196 220 245 251 308 385 490 502 539 770 980 1004 1078 1255 1540 1757 2156 2510 2695 2761 3514 5020 5390 5522 7028 8785 10780 11044 12299 13805 17570 19327 24598 27610 35140 38654 49196 55220 58193 61495 77308 96635 116386 122990 135289 193270 232772 245980 270578 290965 386540 407351 541156 581930 640123 676445 814702 1163860 1280246 1352890 1629404 2036755 2560492 2705780 2851457 3200615 4073510 4480861 5702914 6401230 8147020 8961722 11405828 12802460 14257285 14606443 17923444 22404305 28514570 29212886 31366027 44808610 57029140 58425772 62732054 73032215 89617220 102245101 125464108 146064430 156830135 160670873 204490202 292128860 313660270 321341746 408980404 511225505 627320540 642683492 715715707 803354365 1022451010 1124696111 1431431414 1606708730 2044902020 2249392222 2862862828 3213417460 3578578535 4498784444 5623480555 7157157070 7872872777 11246961110 14314314140 15745745554 22493922220 31491491108 39364363885 78728727770 157457455540