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158417238420 = 223257653192539
BaseRepresentation
bin1001001110001001100…
…1110011100110010100
3120010220100222112021200
42103202121303212110
510043414303112140
6200435331112500
714305504210650
oct2234231634624
9503810875250
10158417238420
1161203445a41
1226851742730
1311c2838b2cc
14794b629a60
1541c2a46030
hex24e2673994

158417238420 has 144 divisors (see below), whose sum is σ = 550023626880. Its totient is φ = 36154015488.

The previous prime is 158417238367. The next prime is 158417238431. The reversal of 158417238420 is 24832714851.

158417238420 is a `hidden beast` number, since 1 + 5 + 84 + 172 + 384 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726511 + ... + 919049.

It is an arithmetic number, because the mean of its divisors is an integer number (3819608520).

Almost surely, 2158417238420 is an apocalyptic number.

158417238420 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 158417238420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275011813440).

158417238420 is an abundant number, since it is smaller than the sum of its proper divisors (391606388460).

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

158417238420 is a wasteful number, since it uses less digits than its factorization.

158417238420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193214 (or 193209 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 158417238420 in words is "one hundred fifty-eight billion, four hundred seventeen million, two hundred thirty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 653 1260 1306 1959 2612 3265 3918 4571 5877 6530 7836 9142 9795 11754 13060 13713 18284 19590 22855 23508 27426 29385 39180 41139 45710 54852 58770 68565 82278 91420 117540 137130 164556 192539 205695 274260 385078 411390 577617 770156 822780 962695 1155234 1347773 1732851 1925390 2310468 2695546 2888085 3465702 3850780 4043319 5391092 5776170 6738865 6931404 8086638 8664255 11552340 12129957 13477730 16173276 17328510 20216595 24259914 26955460 34657020 40433190 48519828 60649785 80866380 121299570 125727967 242599140 251455934 377183901 502911868 628639835 754367802 880095769 1131551703 1257279670 1508735604 1760191538 1885919505 2263103406 2514559340 2640287307 3520383076 3771839010 4400478845 4526206812 5280574614 5657758515 7543678020 7920861921 8800957690 10561149228 11315517030 13201436535 15841723842 17601915380 22631034060 26402873070 31683447684 39604309605 52805746140 79208619210 158417238420