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45120203136 = 2732145126993
BaseRepresentation
bin101010000001010111…
…111010100110000000
311022110111121210202200
4222001113322212000
51214401233000021
632421122313200
73155056253511
oct520127724600
9138414553680
1045120203136
11181541a6488
1288b27b8800
134340aa9668
1422805dca08
151291284126
hexa815fa980

45120203136 has 96 divisors (see below), whose sum is σ = 129932379720. Its totient is φ = 15029145600.

The previous prime is 45120203123. The next prime is 45120203143. The reversal of 45120203136 is 63130202154.

45120203136 is a `hidden beast` number, since 451 + 2 + 0 + 203 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1658056 + ... + 1685048.

Almost surely, 245120203136 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 45120203136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64966189860).

45120203136 is an abundant number, since it is smaller than the sum of its proper divisors (84812176584).

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

45120203136 is a wasteful number, since it uses less digits than its factorization.

45120203136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28464 (or 28449 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 45120203136 in words is "forty-five billion, one hundred twenty million, two hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1451 2902 4353 5804 8706 11608 13059 17412 23216 26118 26993 34824 46432 52236 53986 69648 80979 92864 104472 107972 139296 161958 185728 208944 215944 242937 278592 323916 417888 431888 485874 557184 647832 835776 863776 971748 1295664 1671552 1727552 1943496 2591328 3455104 3886992 5182656 7773984 10365312 15547968 31095936 39166843 78333686 117500529 156667372 235001058 313334744 352501587 470002116 626669488 705003174 940004232 1253338976 1410006348 1880008464 2506677952 2820012696 3760016928 5013355904 5640025392 7520033856 11280050784 15040067712 22560101568 45120203136