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56316106440 = 23335114740413
BaseRepresentation
bin110100011100101100…
…111001011011001000
312101100202200121211000
4310130230321123020
51410313410401230
641512105335000
74032365002146
oct643454713310
9171322617730
1056316106440
1121979a79330
12aab8197460
135406485709
142a23506596
1516e911db60
hexd1cb396c8

56316106440 has 128 divisors (see below), whose sum is σ = 204785884800. Its totient is φ = 13652386560.

The previous prime is 56316106439. The next prime is 56316106489. The reversal of 56316106440 is 4460161365.

It is a happy number.

56316106440 is a `hidden beast` number, since 5 + 6 + 3 + 1 + 6 + 1 + 0 + 644 + 0 = 666.

56316106440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×563161064402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 56316106395 and 56316106404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2358327 + ... + 2382086.

It is an arithmetic number, because the mean of its divisors is an integer number (1599889725).

Almost surely, 256316106440 is an apocalyptic number.

It is an amenable number.

56316106440 is an abundant number, since it is smaller than the sum of its proper divisors (148469778360).

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

56316106440 is a wasteful number, since it uses less digits than its factorization.

56316106440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4740444 (or 4740434 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56316106440 in words is "fifty-six billion, three hundred sixteen million, one hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 4740413 9480826 14221239 18961652 23702065 28442478 37923304 42663717 47404130 52144543 56884956 71106195 85327434 94808260 104289086 113769912 127991151 142212390 156433629 170654868 189616520 208578172 213318585 255982302 260722715 284424780 312867258 341309736 417156344 426637170 469300887 511964604 521445430 568849560 625734516 639955755 782168145 853274340 938601774 1023929208 1042890860 1251469032 1279911510 1407902661 1564336290 1706548680 1877203548 2085781720 2346504435 2559823020 2815805322 3128672580 3754407096 4693008870 5119646040 5631610644 6257345160 7039513305 9386017740 11263221288 14079026610 18772035480 28158053220 56316106440