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45053579449632 = 2531349972345941
BaseRepresentation
bin10100011111001110110101…
…00110010101010100100000
312220112002011102020012011010
422033213122212111110200
521401124212314342012
6235453154554220520
712330004461442635
oct1217473246252440
9186462142205133
1045053579449632
11133a0130067116
125077828724740
131c1a6c3b64a80
14b1a867b1218c
15531e31185c3c
hex28f9da995520

45053579449632 has 96 divisors (see below), whose sum is σ = 127618241688000. Its totient is φ = 13834858798080.

The previous prime is 45053579449537. The next prime is 45053579449667. The reversal of 45053579449632 is 23694497535054.

It is a happy number.

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

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35550219 + ... + 36795722.

It is an arithmetic number, because the mean of its divisors is an integer number (1329356684250).

Almost surely, 245053579449632 is an apocalyptic number.

It is an amenable number.

45053579449632 is an abundant number, since it is smaller than the sum of its proper divisors (82564662238368).

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

45053579449632 is a wasteful number, since it uses less digits than its factorization.

45053579449632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72346466 (or 72346458 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 66.

The spelling of 45053579449632 in words is "forty-five trillion, fifty-three billion, five hundred seventy-nine million, four hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 499 624 998 1248 1497 1996 2994 3992 5988 6487 7984 11976 12974 15968 19461 23952 25948 38922 47904 51896 77844 103792 155688 207584 311376 622752 72345941 144691882 217037823 289383764 434075646 578767528 868151292 940497233 1157535056 1736302584 1880994466 2315070112 2821491699 3472605168 3761988932 5642983398 6945210336 7523977864 11285966796 15047955728 22571933592 30095911456 36100624559 45143867184 72201249118 90287734368 108301873677 144402498236 216603747354 288804996472 433207494708 469308119267 577609992944 866414989416 938616238534 1155219985888 1407924357801 1732829978832 1877232477068 2815848715602 3465659957664 3754464954136 5631697431204 7508929908272 11263394862408 15017859816544 22526789724816 45053579449632