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45015410286 = 237711133657
BaseRepresentation
bin101001111011001000…
…001010011001101110
311022012012102210000000
4221323020022121232
51214142421112121
632402500245130
73152344450140
oct517310123156
9138165383000
1045015410286
1118100031020
1288836a07a6
134325178462
142270720c90
151286e84526
hexa7b20a66e

45015410286 has 128 divisors (see below), whose sum is σ = 126258693120. Its totient is φ = 11692226880.

The previous prime is 45015410221. The next prime is 45015410329. The reversal of 45015410286 is 68201451054.

It is a happy number.

45015410286 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45015410286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269970 + ... + 403626.

It is an arithmetic number, because the mean of its divisors is an integer number (986396040).

Almost surely, 245015410286 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45015410286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63129346560).

45015410286 is an abundant number, since it is smaller than the sum of its proper divisors (81243282834).

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

45015410286 is a wasteful number, since it uses less digits than its factorization.

45015410286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133698 (or 133680 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45015410286 in words is "forty-five billion, fifteen million, four hundred ten thousand, two hundred eighty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 243 297 378 462 486 567 594 693 729 891 1134 1386 1458 1701 1782 2079 2187 2673 3402 4158 4374 5103 5346 6237 8019 10206 12474 15309 16038 18711 24057 30618 37422 48114 56133 112266 133657 168399 267314 336798 400971 801942 935599 1202913 1470227 1871198 2405826 2806797 2940454 3608739 4410681 5613594 7217478 8420391 8821362 10291589 10826217 13232043 16840782 20583178 21652434 25261173 26464086 30874767 32478651 39696129 50522346 61749534 64957302 75783519 79392258 92624301 97435953 119088387 151567038 185248602 194871906 227350557 238176774 277872903 292307859 357265161 454701114 555745806 584615718 682051671 714530322 833618709 1071795483 1364103342 1667237418 2046155013 2143590966 2500856127 3215386449 4092310026 5001712254 6430772898 7502568381 15005136762 22507705143 45015410286