Search a number
-
+
90413853075 = 33527213210277
BaseRepresentation
bin101010000110100010…
…1011110100110010011
322122101002121121211000
41110031011132212103
52440131421244300
6105311402353043
76350353033200
oct1241505364623
9278332547730
1090413853075
1135387299027
12156334bb783
1386ab7a4160
144539c6aca7
152542879c00
hex150d15e993

90413853075 has 144 divisors (see below), whose sum is σ = 208074286560. Its totient is φ = 38152477440.

The previous prime is 90413853071. The next prime is 90413853083. The reversal of 90413853075 is 57035831409.

90413853075 is a `hidden beast` number, since 9 + 0 + 41 + 3 + 8 + 530 + 75 = 666.

It is not a de Polignac number, because 90413853075 - 22 = 90413853071 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90413853075.

It is not an unprimeable number, because it can be changed into a prime (90413853071) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324837 + ... + 535113.

Almost surely, 290413853075 is an apocalyptic number.

90413853075 is an abundant number, since it is smaller than the sum of its proper divisors (117660433485).

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

90413853075 is a wasteful number, since it uses less digits than its factorization.

90413853075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210323 (or 210305 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 90413853075 in words is "ninety billion, four hundred thirteen million, eight hundred fifty-three thousand, seventy-five".

Divisors: 1 3 5 7 9 13 15 21 25 27 35 39 45 49 63 65 75 91 105 117 135 147 175 189 195 225 245 273 315 325 351 441 455 525 585 637 675 735 819 945 975 1225 1323 1365 1575 1755 1911 2205 2275 2457 2925 3185 3675 4095 4725 5733 6615 6825 8775 9555 11025 12285 15925 17199 20475 28665 33075 47775 61425 85995 143325 210277 429975 630831 1051385 1471939 1892493 2733601 3154155 4415817 5256925 5677479 7359695 8200803 9462465 10303573 13247451 13668005 15770775 19135207 22079085 24602409 28387395 30910719 36798475 39742353 41004015 47312325 51517865 57405621 66237255 68340025 73807227 92732157 95676035 110395425 123012045 133946449 141936975 154553595 172216863 198711765 205020075 257589325 278196471 287028105 331186275 369036135 401839347 463660785 478380175 516650589 615060225 669732245 772767975 861084315 993558825 1205518041 1390982355 1435140525 1845180675 2009196735 2318303925 2583252945 3348661225 3616554123 4305421575 6027590205 6954911775 10045983675 12916264725 18082770615 30137951025 90413853075