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20095733632 = 2713313710529
BaseRepresentation
bin10010101101110011…
…001000111110000000
31220212111200001002211
4102231303020332000
5312124001434012
613122025151504
71310663626462
oct225563107600
956774601084
1020095733632
118582577127
123a8a02b594
131b83486560
14d88cc6132
157c937b6a7
hex4adcc8f80

20095733632 has 128 divisors (see below), whose sum is σ = 45711993600. Its totient is φ = 8732344320.

The previous prime is 20095733617. The next prime is 20095733681. The reversal of 20095733632 is 23633759002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×200957336322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903344 + ... + 1913872.

It is an arithmetic number, because the mean of its divisors is an integer number (357124950).

Almost surely, 220095733632 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 20095733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22855996800).

20095733632 is an abundant number, since it is smaller than the sum of its proper divisors (25616259968).

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

20095733632 is a wasteful number, since it uses less digits than its factorization.

20095733632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 40.

The spelling of 20095733632 in words is "twenty billion, ninety-five million, seven hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 31 32 37 52 62 64 74 104 124 128 148 208 248 296 403 416 481 496 592 806 832 962 992 1147 1184 1612 1664 1924 1984 2294 2368 3224 3848 3968 4588 4736 6448 7696 9176 10529 12896 14911 15392 18352 21058 25792 29822 30784 36704 42116 51584 59644 61568 73408 84232 119288 136877 146816 168464 238576 273754 326399 336928 389573 477152 547508 652798 673856 779146 954304 1095016 1305596 1347712 1558292 1908608 2190032 2611192 3116584 4243187 4380064 5064449 5222384 6233168 8486374 8760128 10128898 10444768 12076763 12466336 16972748 17520256 20257796 20889536 24153526 24932672 33945496 40515592 41779072 48307052 49865344 67890992 81031184 96614104 135781984 156997919 162062368 193228208 271563968 313995838 324124736 386456416 543127936 627991676 648249472 772912832 1255983352 1545825664 2511966704 5023933408 10047866816 20095733632