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20630626272 = 2532793132897
BaseRepresentation
bin10011001101101011…
…100101111111100000
31222020210011101212100
4103031223211333200
5314222420020042
613251053530400
71330150300314
oct231553457740
958223141770
1020630626272
1188274a5963
123bb91a3a00
131c3a237589
14dd9d61b44
1580b2d824c
hex4cdae5fe0

20630626272 has 144 divisors (see below), whose sum is σ = 59621365440. Its totient is φ = 6765797376.

The previous prime is 20630626253. The next prime is 20630626283. The reversal of 20630626272 is 27262603602.

20630626272 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 0 + 626 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7119928 + ... + 7122824.

It is an arithmetic number, because the mean of its divisors is an integer number (414037260).

Almost surely, 220630626272 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 20630626272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29810682720).

20630626272 is an abundant number, since it is smaller than the sum of its proper divisors (38990739168).

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

20630626272 is a wasteful number, since it uses less digits than its factorization.

20630626272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3294 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 20630626272 in words is "twenty billion, six hundred thirty million, six hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 313 316 474 626 632 711 939 948 1252 1264 1422 1878 1896 2504 2528 2817 2844 2897 3756 3792 5008 5634 5688 5794 7512 7584 8691 10016 11268 11376 11588 15024 17382 22536 22752 23176 24727 26073 30048 34764 45072 46352 49454 52146 69528 74181 90144 92704 98908 104292 139056 148362 197816 208584 222543 228863 278112 296724 395632 417168 445086 457726 593448 686589 791264 834336 890172 906761 915452 1186896 1373178 1780344 1813522 1830904 2059767 2373792 2720283 2746356 3560688 3627044 3661808 4119534 5440566 5492712 7121376 7254088 7323616 8160849 8239068 10881132 10985424 14508176 16321698 16478136 21762264 21970848 29016352 32643396 32956272 43524528 65286792 65912544 71634119 87049056 130573584 143268238 214902357 261147168 286536476 429804714 573072952 644707071 859609428 1146145904 1289414142 1719218856 2292291808 2578828284 3438437712 5157656568 6876875424 10315313136 20630626272