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56605551600 = 24352133628561
BaseRepresentation
bin110100101101111101…
…000010101111110000
312102002221022221221010
4310231331002233300
51411412010122400
642000525230520
74042511151453
oct645575025760
9172087287833
1056605551600
11220083a3804
12ab79102440
135451429240
142a4db2d49a
151714745450
hexd2df42bf0

56605551600 has 120 divisors (see below), whose sum is σ = 195274692592. Its totient is φ = 13933670400.

The previous prime is 56605551589. The next prime is 56605551631. The reversal of 56605551600 is 615550665.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1798681 + ... + 1829880.

Almost surely, 256605551600 is an apocalyptic number.

56605551600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56605551600 is an abundant number, since it is smaller than the sum of its proper divisors (138669140992).

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

56605551600 is a wasteful number, since it uses less digits than its factorization.

56605551600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628595 (or 3628584 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 56605551600 in words is "fifty-six billion, six hundred five million, five hundred fifty-one thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 195 200 208 240 260 300 312 325 390 400 520 600 624 650 780 975 1040 1200 1300 1560 1950 2600 3120 3900 5200 7800 15600 3628561 7257122 10885683 14514244 18142805 21771366 29028488 36285610 43542732 47171293 54428415 58056976 72571220 87085464 90714025 94342586 108856830 141513879 145142440 174170928 181428050 188685172 217713660 235856465 272142075 283027758 290284880 362856100 377370344 435427320 471712930 544284150 566055516 707569395 725712200 754740688 870854640 943425860 1088568300 1132111032 1179282325 1415138790 1451424400 1886851720 2177136600 2264222064 2358564650 2830277580 3537846975 3773703440 4354273200 4717129300 5660555160 7075693950 9434258600 11321110320 14151387900 18868517200 28302775800 56605551600