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45210630360 = 23357514710457
BaseRepresentation
bin101010000110110000…
…110111100011011000
311022200210202222121010
4222012300313203120
51220042410132420
632434112413520
73160235005650
oct520660674330
9138623688533
1045210630360
11181a0249825
128918b472a0
13435674abac
14228c61b360
1512991974e0
hexa86c378d8

45210630360 has 128 divisors (see below), whose sum is σ = 155052817920. Its totient is φ = 10330862592.

The previous prime is 45210630329. The next prime is 45210630383. The reversal of 45210630360 is 6303601254.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 4318252 + ... + 4328708.

It is an arithmetic number, because the mean of its divisors is an integer number (1211350140).

Almost surely, 245210630360 is an apocalyptic number.

45210630360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45210630360 is an abundant number, since it is smaller than the sum of its proper divisors (109842187560).

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

45210630360 is a wasteful number, since it uses less digits than its factorization.

45210630360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15625 (or 15621 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 45210630360 in words is "forty-five billion, two hundred ten million, six hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 5147 10294 10457 15441 20588 20914 25735 30882 31371 36029 41176 41828 51470 52285 61764 62742 72058 73199 77205 83656 102940 104570 108087 123528 125484 144116 146398 154410 156855 180145 205880 209140 216174 219597 250968 288232 292796 308820 313710 360290 365995 418280 432348 439194 540435 585592 617640 627420 720580 731990 864696 878388 1080870 1097985 1254840 1441160 1463980 1756776 2161740 2195970 2927960 4323480 4391940 8783880 53822179 107644358 161466537 215288716 269110895 322933074 376755253 430577432 538221790 645866148 753510506 807332685 1076443580 1130265759 1291732296 1507021012 1614665370 1883776265 2152887160 2260531518 3014042024 3229330740 3767552530 4521063036 5651328795 6458661480 7535105060 9042126072 11302657590 15070210120 22605315180 45210630360