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45693964932 = 22371165375731
BaseRepresentation
bin101010100011100100…
…101001001010000100
311100221111020220222120
4222203210221022010
51222040123334212
632554100125540
73205224202440
oct524344511204
9140844226876
1045693964932
1118419063190
128a329968b0
134402919595
1422d68b5820
1512c681c88c
hexaa3929284

45693964932 has 96 divisors (see below), whose sum is σ = 133133220864. Its totient is φ = 11850230400.

The previous prime is 45693964903. The next prime is 45693964957. The reversal of 45693964932 is 23946939654.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565507 + ... + 641237.

It is an arithmetic number, because the mean of its divisors is an integer number (1386804384).

Almost surely, 245693964932 is an apocalyptic number.

45693964932 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45693964932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66566610432).

45693964932 is an abundant number, since it is smaller than the sum of its proper divisors (87439255932).

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

45693964932 is a wasteful number, since it uses less digits than its factorization.

45693964932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76409 (or 76407 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 60.

The spelling of 45693964932 in words is "forty-five billion, six hundred ninety-three million, nine hundred sixty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 653 924 1306 1959 2612 3918 4571 7183 7836 9142 13713 14366 18284 21549 27426 28732 43098 50281 54852 75731 86196 100562 150843 151462 201124 227193 301686 302924 454386 530117 603372 833041 908772 1060234 1590351 1666082 2120468 2499123 3180702 3332164 4998246 5831287 6361404 9996492 11662574 17493861 23325148 34987722 49452343 69975444 98904686 148357029 197809372 296714058 346166401 543975773 593428116 692332802 1038499203 1087951546 1384665604 1631927319 2076998406 2175903092 3263854638 3807830411 4153996812 6527709276 7615660822 11423491233 15231321644 22846982466 45693964932