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45747042560 = 285674991069
BaseRepresentation
bin101010100110101111…
…000111100100000000
311101002012010112210122
4222212233013210000
51222142220330220
633003233515412
73206440305632
oct524657074400
9141065115718
1045747042560
111844601619a
128a48712b68
13441091176b
1422dd970a52
1512cb304425
hexaa6bc7900

45747042560 has 144 divisors (see below), whose sum is σ = 111541080000. Its totient is φ = 17972748288.

The previous prime is 45747042559. The next prime is 45747042611. The reversal of 45747042560 is 6524074754.

It is a happy number.

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, 42793706 + ... + 42794774.

Almost surely, 245747042560 is an apocalyptic number.

45747042560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45747042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55770540000).

45747042560 is an abundant number, since it is smaller than the sum of its proper divisors (65794037440).

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

45747042560 is a wasteful number, since it uses less digits than its factorization.

45747042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The spelling of 45747042560 in words is "forty-five billion, seven hundred forty-seven million, forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 499 536 640 670 998 1069 1072 1280 1340 1996 2138 2144 2495 2680 3992 4276 4288 4990 5345 5360 7984 8552 8576 9980 10690 10720 15968 17104 17152 19960 21380 21440 31936 33433 34208 39920 42760 42880 63872 66866 68416 71623 79840 85520 85760 127744 133732 136832 143246 159680 167165 171040 267464 273664 286492 319360 334330 342080 358115 533431 534928 572984 638720 668660 684160 716230 1066862 1069856 1145968 1337320 1368320 1432460 2133724 2139712 2291936 2667155 2674640 2864920 4267448 4279424 4583872 5334310 5349280 5729840 8534896 8558848 9167744 10668620 10698560 11459680 17069792 18335488 21337240 21397120 22919360 34139584 35739877 42674480 42794240 45838720 68279168 71479754 85348960 91677440 136558336 142959508 170697920 178699385 285919016 341395840 357398770 571838032 682791680 714797540 1143676064 1429595080 2287352128 2859190160 4574704256 5718380320 9149408512 11436760640 22873521280 45747042560