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45315484632 = 23321153220369
BaseRepresentation
bin101010001101000000…
…110110101111011000
311022222010002010121200
4222031000312233120
51220301231002012
632452340034200
73162650156355
oct521500665730
9138863063550
1045315484632
1118244456350
128948092960
1343723a1042
14229c51362c
1512a34aa3dc
hexa8d036bd8

45315484632 has 144 divisors (see below), whose sum is σ = 136467185400. Its totient is φ = 13472209920.

The previous prime is 45315484607. The next prime is 45315484681. The reversal of 45315484632 is 23648451354.

45315484632 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 5 + 4 + 8 + 4 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2214544 + ... + 2234912.

Almost surely, 245315484632 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 45315484632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68233592700).

45315484632 is an abundant number, since it is smaller than the sum of its proper divisors (91151700768).

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

45315484632 is a wasteful number, since it uses less digits than its factorization.

45315484632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20498 (or 20438 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 45315484632 in words is "forty-five billion, three hundred fifteen million, four hundred eighty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 2809 3498 3816 4664 5247 5618 6996 8427 10494 11236 13992 16854 20369 20988 22472 25281 30899 33708 40738 41976 50562 61107 61798 67416 81476 92697 101124 122214 123596 162952 183321 185394 202248 224059 244428 247192 278091 366642 370788 448118 488856 556182 672177 733284 741576 896236 1079557 1112364 1344354 1466568 1792472 2016531 2159114 2224728 2688708 3238671 4033062 4318228 5377416 6477342 8066124 8636456 9716013 11875127 12954684 16132248 19432026 23750254 25909368 35625381 38864052 47500508 57216521 71250762 77728104 95001016 106876143 114433042 142501524 171649563 213752286 228866084 285003048 343299126 427504572 457732168 514948689 629381731 686598252 855009144 1029897378 1258763462 1373196504 1888145193 2059794756 2517526924 3776290386 4119589512 5035053848 5664435579 7552580772 11328871158 15105161544 22657742316 45315484632