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20024260632 = 23325910974297
BaseRepresentation
bin10010101001100010…
…011111100000011000
31220200112011211120200
4102221202133200120
5312002202320012
613110553222200
71306135256415
oct225142374030
956615154520
1020024260632
11854619a432
123a6a101960
131b7172043c
14d7d5dd10c
157c2e5e3dc
hex4a989f818

20024260632 has 96 divisors (see below), whose sum is σ = 55214686800. Its totient is φ = 6554115072.

The previous prime is 20024260603. The next prime is 20024260643. The reversal of 20024260632 is 23606242002.

20024260632 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 4 + 26 + 0 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20024260596 and 20024260605.

It is a congruent number.

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, 4657908 + ... + 4662204.

Almost surely, 220024260632 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 20024260632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27607343400).

20024260632 is an abundant number, since it is smaller than the sum of its proper divisors (35190426168).

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

20024260632 is a wasteful number, since it uses less digits than its factorization.

20024260632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5465 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 20024260632 in words is "twenty billion, twenty-four million, two hundred sixty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1097 1416 2124 2194 3291 4248 4297 4388 6582 8594 8776 9873 12891 13164 17188 19746 25782 26328 34376 38673 39492 51564 64723 77346 78984 103128 129446 154692 194169 253523 258892 309384 388338 507046 517784 582507 760569 776676 1014092 1165014 1521138 1553352 2028184 2281707 2330028 3042276 4563414 4660056 4713809 6084552 9126828 9427618 14141427 18253656 18855236 28282854 37710472 42424281 56565708 84848562 113131416 169697124 278114731 339394248 556229462 834344193 1112458924 1668688386 2224917848 2503032579 3337376772 5006065158 6674753544 10012130316 20024260632