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45235497960 = 23325791590559
BaseRepresentation
bin101010001000001111…
…101110101111101000
311022202112120101112100
4222020033232233220
51220120241413320
632440401413400
73160656250152
oct521017565750
9138675511470
1045235497960
1118203294164
12892533a260
13435b946a53
142291a51ad2
15129b45a790
hexa883eebe8

45235497960 has 96 divisors (see below), whose sum is σ = 148876416000. Its totient is φ = 11910098304.

The previous prime is 45235497959. The next prime is 45235497971. The reversal of 45235497960 is 6979453254.

45235497960 is a `hidden beast` number, since 4 + 5 + 2 + 3 + 549 + 7 + 96 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 45235497897 and 45235497906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 766840 + ... + 823719.

It is an arithmetic number, because the mean of its divisors is an integer number (1550796000).

Almost surely, 245235497960 is an apocalyptic number.

45235497960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45235497960 is an abundant number, since it is smaller than the sum of its proper divisors (103640918040).

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

45235497960 is a wasteful number, since it uses less digits than its factorization.

45235497960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590655 (or 1590648 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 45235497960 in words is "forty-five billion, two hundred thirty-five million, four hundred ninety-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 79 90 120 158 180 237 316 360 395 474 632 711 790 948 1185 1422 1580 1896 2370 2844 3160 3555 4740 5688 7110 9480 14220 28440 1590559 3181118 4771677 6362236 7952795 9543354 12724472 14315031 15905590 19086708 23858385 28630062 31811180 38173416 47716770 57260124 63622360 71575155 95433540 114520248 125654161 143150310 190867080 251308322 286300620 376962483 502616644 572601240 628270805 753924966 1005233288 1130887449 1256541610 1507849932 1884812415 2261774898 2513083220 3015699864 3769624830 4523549796 5026166440 5654437245 7539249660 9047099592 11308874490 15078499320 22617748980 45235497960