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56035284960 = 2535263443879
BaseRepresentation
bin110100001011111101…
…101001011111100000
312100122012021102011110
4310023331221133200
51404230013104320
641424154343320
74022415030504
oct641375513740
9170565242143
1056035284960
1121845503a66
12aa3a12ab40
135390241165
1429d80c6304
1516ce64c5e0
hexd0bf697e0

56035284960 has 96 divisors (see below), whose sum is σ = 177182691840. Its totient is φ = 14885892608.

The previous prime is 56035284919. The next prime is 56035284967. The reversal of 56035284960 is 6948253065.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56035284967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95700 + ... + 348179.

It is an arithmetic number, because the mean of its divisors is an integer number (1845653040).

Almost surely, 256035284960 is an apocalyptic number.

It is an amenable number.

56035284960 is an abundant number, since it is smaller than the sum of its proper divisors (121147406880).

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

56035284960 is a wasteful number, since it uses less digits than its factorization.

56035284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444160 (or 444152 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 56035284960 in words is "fifty-six billion, thirty-five million, two hundred eighty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 263 480 526 789 1052 1315 1578 2104 2630 3156 3945 4208 5260 6312 7890 8416 10520 12624 15780 21040 25248 31560 42080 63120 126240 443879 887758 1331637 1775516 2219395 2663274 3551032 4438790 5326548 6658185 7102064 8877580 10653096 13316370 14204128 17755160 21306192 26632740 35510320 42612384 53265480 71020640 106530960 116740177 213061920 233480354 350220531 466960708 583700885 700441062 933921416 1167401770 1400882124 1751102655 1867842832 2334803540 2801764248 3502205310 3735685664 4669607080 5603528496 7004410620 9339214160 11207056992 14008821240 18678428320 28017642480 56035284960