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45693964944 = 243623170327
BaseRepresentation
bin101010100011100100…
…101001001010010000
311100221111020221000000
4222203210221022100
51222040123334234
632554100130000
73205224202455
oct524344511220
9140844227000
1045693964944
11184190631a1
128a32996900
1344029195a4
1422d68b582c
1512c681c899
hexaa3929290

45693964944 has 140 divisors (see below), whose sum is σ = 138509366976. Its totient is φ = 14569004736.

The previous prime is 45693964903. The next prime is 45693964957. The reversal of 45693964944 is 44946939654.

45693964944 is a `hidden beast` number, since 4 + 56 + 9 + 3 + 96 + 494 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 183109 + ... + 353435.

Almost surely, 245693964944 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 45693964944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69254683488).

45693964944 is an abundant number, since it is smaller than the sum of its proper divisors (92815402032).

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

45693964944 is a wasteful number, since it uses less digits than its factorization.

45693964944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170376 (or 170355 counting only the distinct ones).

The product of its digits is 100776960, while the sum is 63.

The spelling of 45693964944 in words is "forty-five billion, six hundred ninety-three million, nine hundred sixty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 729 828 972 1104 1242 1296 1458 1656 1863 1944 2484 2916 3312 3726 3888 4968 5589 5832 7452 9936 11178 11664 14904 16767 22356 29808 33534 44712 67068 89424 134136 170327 268272 340654 510981 681308 1021962 1362616 1532943 2043924 2725232 3065886 3917521 4087848 4598829 6131772 7835042 8175696 9197658 11752563 12263544 13796487 15670084 18395316 23505126 24527088 27592974 31340168 35257689 36790632 41389461 47010252 55185948 62680336 70515378 73581264 82778922 94020504 105773067 110371896 124168383 141030756 165557844 188041008 211546134 220743792 248336766 282061512 317319201 331115688 423092268 496673532 564123024 634638402 662231376 846184536 951957603 993347064 1269276804 1692369072 1903915206 1986694128 2538553608 2855872809 3807830412 5077107216 5711745618 7615660824 11423491236 15231321648 22846982472 45693964944