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19958380416 = 2732131332691
BaseRepresentation
bin10010100101100111…
…001011011110000000
31220111221012202220200
4102211213023132000
5311333321133131
613100241205200
71304405302002
oct224547133600
956457182820
1019958380416
118511a92677
123a50030800
131b60b94b70
14d74970372
157bc2992e6
hex4a59cb780

19958380416 has 96 divisors (see below), whose sum is σ = 61850235720. Its totient is φ = 6141035520.

The previous prime is 19958380399. The next prime is 19958380441. The reversal of 19958380416 is 61408385991.

19958380416 is a `hidden beast` number, since 19 + 9 + 583 + 8 + 0 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 651370 + ... + 681321.

Almost surely, 219958380416 is an apocalyptic number.

19958380416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

19958380416 is an abundant number, since it is smaller than the sum of its proper divisors (41891855304).

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

19958380416 is a wasteful number, since it uses less digits than its factorization.

19958380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332724 (or 1332709 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 19958380416 in words is "nineteen billion, nine hundred fifty-eight million, three hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 1332691 2665382 3998073 5330764 7996146 10661528 11994219 15992292 17324983 21323056 23988438 31984584 34649966 42646112 47976876 51974949 63969168 69299932 85292224 95953752 103949898 127938336 138599864 155924847 170584448 191907504 207899796 255876672 277199728 311849694 383815008 415799592 511753344 554399456 623699388 767630016 831599184 1108798912 1247398776 1535260032 1663198368 2217597824 2494797552 3326396736 4989595104 6652793472 9979190208 19958380416