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51162355000640 = 2651313789771117
BaseRepresentation
bin10111010001000001010011…
…11111101110010101000000
320201011001222111011021011202
423220200221333232111000
523201221000340010030
6300451354511000332
713530233565050342
oct1350405177562500
9221131874137152
1051162355000640
1115335918663a64
1258a37352090a8
132271787b19b20
14c8c3b222d292
155dacb499b745
hex2e8829fee540

51162355000640 has 112 divisors (see below), whose sum is σ = 132159603581712. Its totient is φ = 18752827047936.

The previous prime is 51162355000633. The next prime is 51162355000657. The reversal of 51162355000640 is 4600055326115.

It can be written as a sum of positive squares in 8 ways, for example, as 663025861696 + 50499329138944 = 814264^2 + 7106288^2 .

It is a junction number, because it is equal to n+sod(n) for n = 51162355000594 and 51162355000603.

It is a congruent 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, 44315639 + ... + 45455478.

It is an arithmetic number, because the mean of its divisors is an integer number (1179996460551).

Almost surely, 251162355000640 is an apocalyptic number.

It is an amenable number.

51162355000640 is an abundant number, since it is smaller than the sum of its proper divisors (80997248581072).

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

51162355000640 is a wasteful number, since it uses less digits than its factorization.

51162355000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89771284 (or 89771274 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 51162355000640 in words is "fifty-one trillion, one hundred sixty-two billion, three hundred fifty-five million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 137 160 208 260 274 320 416 520 548 685 832 1040 1096 1370 1781 2080 2192 2740 3562 4160 4384 5480 7124 8768 8905 10960 14248 17810 21920 28496 35620 43840 56992 71240 113984 142480 284960 569920 89771117 179542234 359084468 448855585 718168936 897711170 1167024521 1436337872 1795422340 2334049042 2872675744 3590844680 4668098084 5745351488 5835122605 7181689360 9336196168 11670245210 12298643029 14363378720 18672392336 23340490420 24597286058 28726757440 37344784672 46680980840 49194572116 61493215145 74689569344 93361961680 98389144232 122986430290 159882359377 186723923360 196778288464 245972860580 319764718754 373447846720 393556576928 491945721160 639529437508 787113153856 799411796885 983891442320 1279058875016 1598823593770 1967782884640 2558117750032 3197647187540 3935565769280 5116235500064 6395294375080 10232471000128 12790588750160 25581177500320 51162355000640