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45654060132 = 2234732298429
BaseRepresentation
bin101010100001001100…
…011010110001100100
311100211201011112220000
4222201030122301210
51221444414411012
632550112541300
73204231052062
oct524114326144
9140751145800
1045654060132
11183a858810a
128a21551830
1343c7587185
1422d1489032
1512c3088ddc
hexaa131ac64

45654060132 has 120 divisors (see below), whose sum is σ = 121526374200. Its totient is φ = 14942237184.

The previous prime is 45654060091. The next prime is 45654060157. The reversal of 45654060132 is 23106045654.

45654060132 is a `hidden beast` number, since 4 + 5 + 6 + 5 + 40 + 601 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10630434816 + 35023625316 = 103104^2 + 187146^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5412094 + ... + 5420522.

It is an arithmetic number, because the mean of its divisors is an integer number (1012719785).

Almost surely, 245654060132 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 45654060132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60763187100).

45654060132 is an abundant number, since it is smaller than the sum of its proper divisors (75872314068).

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

45654060132 is a wasteful number, since it uses less digits than its factorization.

45654060132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8747 (or 8736 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 45654060132 in words is "forty-five billion, six hundred fifty-four million, sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 146 162 219 229 292 324 438 458 657 687 876 916 1314 1374 1971 2061 2628 2748 3942 4122 5913 6183 7884 8244 8429 11826 12366 16717 16858 18549 23652 24732 25287 33434 33716 37098 50151 50574 66868 74196 75861 100302 101148 150453 151722 200604 227583 300906 303444 451359 455166 601812 615317 682749 902718 910332 1230634 1354077 1365498 1805436 1845951 1930241 2461268 2708154 2730996 3691902 3860482 5416308 5537853 5790723 7383804 7720964 11075706 11581446 16613559 17372169 22151412 23162892 33227118 34744338 49840677 52116507 66454236 69488676 99681354 104233014 140907593 156349521 199362708 208466028 281815186 312699042 422722779 563630372 625398084 845445558 1268168337 1690891116 2536336674 3804505011 5072673348 7609010022 11413515033 15218020044 22827030066 45654060132