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55923825920 = 285715631093
BaseRepresentation
bin110100000101010100…
…011101110100000000
312100100102112201002212
4310011110131310000
51404012444412140
641405133401252
74016562451154
oct640524356400
9170312481085
1055923825920
11217985a6156
12aa08939228
135373117971
1429c7391064
1516c4982765
hexd0551dd00

55923825920 has 144 divisors (see below), whose sum is σ = 136207516032. Its totient is φ = 21995151360.

The previous prime is 55923825917. The next prime is 55923825989. The reversal of 55923825920 is 2952832955.

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, 51164894 + ... + 51165986.

It is an arithmetic number, because the mean of its divisors is an integer number (945885528).

Almost surely, 255923825920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55923825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68103758016).

55923825920 is an abundant number, since it is smaller than the sum of its proper divisors (80283690112).

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

55923825920 is a wasteful number, since it uses less digits than its factorization.

55923825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1734 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 50.

The spelling of 55923825920 in words is "fifty-five billion, nine hundred twenty-three million, eight hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 71 80 128 142 160 256 284 320 355 563 568 640 710 1093 1126 1136 1280 1420 2186 2252 2272 2815 2840 4372 4504 4544 5465 5630 5680 8744 9008 9088 10930 11260 11360 17488 18016 18176 21860 22520 22720 34976 36032 39973 43720 45040 45440 69952 72064 77603 79946 87440 90080 90880 139904 144128 155206 159892 174880 180160 199865 279808 310412 319784 349760 360320 388015 399730 615359 620824 639568 699520 720640 776030 799460 1230718 1241648 1279136 1399040 1552060 1598920 2461436 2483296 2558272 3076795 3104120 3197840 4922872 4966592 5116544 6153590 6208240 6395680 9845744 9933184 10233088 12307180 12416480 12791360 19691488 19866368 24614360 24832960 25582720 39382976 43690489 49228720 49665920 51165440 78765952 87380978 98457440 99331840 157531904 174761956 196914880 218452445 349523912 393829760 436904890 699047824 787659520 873809780 1398095648 1747619560 2796191296 3495239120 5592382592 6990478240 11184765184 13980956480 27961912960 55923825920