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20157697040 = 24513173199563
BaseRepresentation
bin10010110001011111…
…100000110000010000
31221000211021002220212
4102301133200300100
5312240332301130
613132121223252
71312345412015
oct226137406020
957024232825
1020157697040
118604549158
123aa6931b28
131b932700b0
14d9321570c
157cea1ae95
hex4b17e0c10

20157697040 has 160 divisors (see below), whose sum is σ = 51109228800. Its totient is φ = 7349557248.

The previous prime is 20157697019. The next prime is 20157697061. The reversal of 20157697040 is 4079675102.

It is an interprime number because it is at equal distance from previous prime (20157697019) and next prime (20157697061).

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, 35803799 + ... + 35804361.

It is an arithmetic number, because the mean of its divisors is an integer number (319432680).

Almost surely, 220157697040 is an apocalyptic number.

20157697040 is a gapful number since it is divisible by the number (20) 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 20157697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25554614400).

20157697040 is an abundant number, since it is smaller than the sum of its proper divisors (30951531760).

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

20157697040 is a wasteful number, since it uses less digits than its factorization.

20157697040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 41.

The spelling of 20157697040 in words is "twenty billion, one hundred fifty-seven million, six hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 173 199 208 260 346 398 520 563 692 796 865 995 1040 1126 1384 1592 1730 1990 2249 2252 2587 2768 2815 3184 3460 3980 4498 4504 5174 5630 6920 7319 7960 8996 9008 10348 11245 11260 12935 13840 14638 15920 17992 20696 22490 22520 25870 29276 34427 35984 36595 41392 44980 45040 51740 58552 68854 73190 89960 97399 103480 112037 117104 137708 146380 172135 179920 194798 206960 224074 275416 292760 344270 389596 447551 448148 486995 550832 560185 585520 688540 779192 895102 896296 973990 1120370 1266187 1377080 1456481 1558384 1790204 1792592 1947980 2237755 2240740 2532374 2754160 2912962 3580408 3895960 4475510 4481480 5064748 5825924 6330935 7160816 7282405 7791920 8951020 8962960 10129496 11651848 12661870 14564810 17902040 19382401 20258992 23303696 25323740 29129620 35804080 38764802 50647480 58259240 77529604 96912005 101294960 116518480 155059208 193824010 251971213 310118416 387648020 503942426 775296040 1007884852 1259856065 1550592080 2015769704 2519712130 4031539408 5039424260 10078848520 20157697040