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45508838912 = 291983157359
BaseRepresentation
bin101010011000100010…
…011100011000000000
311100110120220112211022
4222120202130120000
51221200230321122
632523444205012
73200515514435
oct523042343000
9140416815738
1045508838912
111833360a279
1289a0999768
1343a346c464
1422ba085b8c
1512b5450642
hexa9889c600

45508838912 has 160 divisors (see below), whose sum is σ = 97756243200. Its totient is φ = 21102501888.

The previous prime is 45508838909. The next prime is 45508838929. The reversal of 45508838912 is 21983880554.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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, 126765389 + ... + 126765747.

It is an arithmetic number, because the mean of its divisors is an integer number (610976520).

Almost surely, 245508838912 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 45508838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48878121600).

45508838912 is an abundant number, since it is smaller than the sum of its proper divisors (52247404288).

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

45508838912 is a wasteful number, since it uses less digits than its factorization.

45508838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 53.

The spelling of 45508838912 in words is "forty-five billion, five hundred eight million, eight hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 157 166 256 304 314 332 359 512 608 628 664 718 1216 1256 1328 1436 1577 2432 2512 2656 2872 2983 3154 4864 5024 5312 5744 5966 6308 6821 9728 10048 10624 11488 11932 12616 13031 13642 20096 21248 22976 23864 25232 26062 27284 29797 40192 42496 45952 47728 50464 52124 54568 56363 59594 80384 91904 95456 100928 104248 109136 112726 119188 183808 190912 201856 208496 218272 225452 238376 247589 381824 403712 416992 436544 450904 476752 495178 566143 763648 807424 833984 873088 901808 953504 990356 1070897 1132286 1527296 1667968 1746176 1803616 1907008 1980712 2141794 2264572 3335936 3492352 3607232 3814016 3961424 4283588 4529144 4678129 6671872 7214464 7628032 7922848 8567176 9058288 9356258 14428928 15256064 15845696 17134352 18116576 18712516 28857856 31691392 34268704 36233152 37425032 63382784 68537408 72466304 74850064 88884451 126765568 137074816 144932608 149700128 177768902 274149632 289865216 299400256 355537804 548299264 598800512 711075608 1197601024 1422151216 2395202048 2844302432 5688604864 11377209728 22754419456 45508838912