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45501417156 = 223134317339209
BaseRepresentation
bin101010011000000110…
…001000011011000100
311100110001221111002110
4222120012020123010
51221141330322111
632523021141020
73200365443606
oct523006103304
9140401844073
1045501417156
111832a400198
12899a3ba770
1343a1a712a0
1422b90b3176
1512b49865a6
hexa981886c4

45501417156 has 96 divisors (see below), whose sum is σ = 117675169920. Its totient is φ = 13595452416.

The previous prime is 45501417139. The next prime is 45501417161. The reversal of 45501417156 is 65171410554.

It is a super-2 number, since 2×455014171562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1140880 + ... + 1180088.

It is an arithmetic number, because the mean of its divisors is an integer number (1225783020).

Almost surely, 245501417156 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 45501417156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58837584960).

45501417156 is an abundant number, since it is smaller than the sum of its proper divisors (72173752764).

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

45501417156 is a wasteful number, since it uses less digits than its factorization.

45501417156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39445 (or 39443 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 45501417156 in words is "forty-five billion, five hundred one million, four hundred seventeen thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 43 52 78 86 129 156 172 173 258 346 516 519 559 692 1038 1118 1677 2076 2236 2249 3354 4498 6708 6747 7439 8996 13494 14878 22317 26988 29756 39209 44634 78418 89268 96707 117627 156836 193414 235254 290121 386828 470508 509717 580242 1019434 1160484 1529151 1685987 2038868 3058302 3371974 5057961 6116604 6743948 6783157 10115922 13566314 20231844 20349471 21917831 27132628 40698942 43835662 65753493 81397884 87671324 88181041 131506986 176362082 263013972 264543123 291675751 352724164 529086246 583351502 875027253 1058172492 1166703004 1750054506 3500109012 3791784763 7583569526 11375354289 15167139052 22750708578 45501417156