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45106999295512 = 23711179074749053
BaseRepresentation
bin10100100000110010010101…
…01010110111111000011000
312220201012001100002112101111
422100121022222313320120
521403013113304424022
6235533511443030104
712333605330600560
oct1220311252677030
9186635040075344
1045106999295512
111341085318aa80
12508605696b334
131c2275828882b
14b1d2946d7da0
1553350ada3477
hex29064aab7e18

45106999295512 has 128 divisors (see below), whose sum is σ = 111770695549440. Its totient is φ = 16522141870080.

The previous prime is 45106999295509. The next prime is 45106999295537. The reversal of 45106999295512 is 21559299960154.

45106999295512 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (67) 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 31 ways as a sum of consecutive naturals, for example, 7123578 + ... + 11872630.

It is an arithmetic number, because the mean of its divisors is an integer number (873208558980).

Almost surely, 245106999295512 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 45106999295512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55885347774720).

45106999295512 is an abundant number, since it is smaller than the sum of its proper divisors (66663696253928).

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

45106999295512 is a wasteful number, since it uses less digits than its factorization.

45106999295512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750001 (or 4749997 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 67.

The spelling of 45106999295512 in words is "forty-five trillion, one hundred six billion, nine hundred ninety-nine million, two hundred ninety-five thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 17 22 28 34 44 56 68 77 88 119 136 154 187 238 308 374 476 616 748 907 952 1309 1496 1814 2618 3628 5236 6349 7256 9977 10472 12698 15419 19954 25396 30838 39908 50792 61676 69839 79816 107933 123352 139678 169609 215866 279356 339218 431732 558712 678436 863464 1187263 1356872 2374526 4749052 4749053 9498104 9498106 18996212 33243371 37992424 52239583 66486742 80733901 104479166 132973484 161467802 208958332 265946968 322935604 365677081 417916664 565137307 645871208 731354162 888072911 1130274614 1462708324 1776145822 2260549228 2925416648 3552291644 4307391071 4521098456 6216510377 7104583288 8614782142 12433020754 17229564284 24866041508 30151737497 34459128568 47381301781 49732083016 60303474994 73225648207 94762603562 120606949988 146451296414 189525207124 241213899976 292902592828 331669112467 379050414248 512579537449 585805185656 663338224934 805482130277 1025159074898 1326676449868 1610964260554 2050318149796 2653352899736 3221928521108 4100636299592 5638374911939 6443857042216 11276749823878 22553499647756 45106999295512