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45445410252 = 2232111273132887
BaseRepresentation
bin101010010100110000…
…011110110111001100
311100022011120001001200
4222110300132313030
51221033011112002
632513300505500
73166115420304
oct522460366714
9140264501050
1045445410252
11183008273a0
1289836ab290
1343932919c8
1422b1894604
1512aeac1b1c
hexa94c1edcc

45445410252 has 144 divisors (see below), whose sum is σ = 126753349632. Its totient is φ = 13614531840.

The previous prime is 45445410233. The next prime is 45445410289. The reversal of 45445410252 is 25201454454.

45445410252 is a `hidden beast` number, since 4 + 54 + 454 + 102 + 52 = 666.

45445410252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 15739953 + ... + 15742839.

Almost surely, 245445410252 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 45445410252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63376674816).

45445410252 is an abundant number, since it is smaller than the sum of its proper divisors (81307939380).

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

45445410252 is a wasteful number, since it uses less digits than its factorization.

45445410252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3343 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 45445410252 in words is "forty-five billion, four hundred forty-five million, four hundred ten thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 313 381 396 508 626 762 939 1143 1252 1397 1524 1878 2286 2794 2817 2887 3443 3756 4191 4572 5588 5634 5774 6886 8382 8661 10329 11268 11548 12573 13772 16764 17322 20658 25146 25983 30987 31757 34644 39751 41316 50292 51966 61974 63514 79502 95271 103932 119253 123948 127028 159004 190542 238506 285813 357759 366649 381084 437261 477012 571626 715518 733298 874522 903631 1099947 1143252 1311783 1431036 1466596 1749044 1807262 2199894 2623566 2710893 3299841 3614524 3935349 4033139 4399788 5247132 5421786 6599682 7870698 8066278 8132679 9939941 10843572 12099417 13199364 15741396 16132556 16265358 19879882 24198834 29819823 32530716 36298251 39759764 48397668 59639646 72596502 89459469 114761137 119279292 145193004 178918938 229522274 344283411 357837876 459044548 688566822 1032850233 1262372507 1377133644 2065700466 2524745014 3787117521 4131400932 5049490028 7574235042 11361352563 15148470084 22722705126 45445410252