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45150751044 = 223271729633557
BaseRepresentation
bin101010000011001100…
…011100100101000100
311022112122002210121200
4222003030130211010
51214432043013134
632424133142500
73155610023460
oct520314344504
9138478083550
1045150751044
111816a470593
128900a8aa30
134347213b49
1422846b14a0
151293cba499
hexa8331c944

45150751044 has 144 divisors (see below), whose sum is σ = 138193630848. Its totient is φ = 12133868544.

The previous prime is 45150750991. The next prime is 45150751057. The reversal of 45150751044 is 44015705154.

45150751044 is a `hidden beast` number, since 4 + 51 + 50 + 7 + 510 + 44 = 666.

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, 12691714 + ... + 12695270.

It is an arithmetic number, because the mean of its divisors is an integer number (959677992).

Almost surely, 245150751044 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 45150751044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69096815424).

45150751044 is an abundant number, since it is smaller than the sum of its proper divisors (93042879804).

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

45150751044 is a wasteful number, since it uses less digits than its factorization.

45150751044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6549 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 45150751044 in words is "forty-five billion, one hundred fifty million, seven hundred fifty-one thousand, forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 2963 3557 4284 5926 7114 8889 10671 11852 14228 17778 20741 21342 24899 26667 32013 35556 41482 42684 49798 50371 53334 60469 62223 64026 74697 82964 99596 100742 106668 120938 124446 128052 149394 151113 181407 186669 201484 224091 241876 248892 298788 302226 352597 362814 373338 423283 448182 453339 544221 604452 705194 725628 746676 846566 896364 906678 1057791 1088442 1269849 1410388 1693132 1813356 2115582 2176884 2539698 3173373 3809547 4231164 5079396 6346746 7619094 10539391 12693492 15238188 21078782 31618173 42157564 63236346 73775737 94854519 126472692 147551474 179169647 189709038 221327211 295102948 358339294 379418076 442654422 537508941 663981633 716678588 885308844 1075017882 1254187529 1327963266 1612526823 2150035764 2508375058 2655926532 3225053646 3762562587 5016750116 6450107292 7525125174 11287687761 15050250348 22575375522 45150751044