Search a number
-
+
55757807580 = 22352989360053
BaseRepresentation
bin110011111011011011…
…001001111111011100
312022220212011002202110
4303323123021333130
51403142444320310
641340443154020
74012505354526
oct637333117734
9168825132673
1055757807580
1121712913112
12a981215910
1353478caa67
1429ad2d6a16
1516b50dbd20
hexcfb6c9fdc

55757807580 has 96 divisors (see below), whose sum is σ = 163320494400. Its totient is φ = 14194690048.

The previous prime is 55757807579. The next prime is 55757807587. The reversal of 55757807580 is 8570875755.

It is a super-2 number, since 2×557578075802 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55757807580.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55757807587) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25167 + ... + 334886.

It is an arithmetic number, because the mean of its divisors is an integer number (1701255150).

Almost surely, 255757807580 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 55757807580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81660247200).

55757807580 is an abundant number, since it is smaller than the sum of its proper divisors (107562686820).

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

55757807580 is a wasteful number, since it uses less digits than its factorization.

55757807580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360183 (or 360181 counting only the distinct ones).

The product of its (nonzero) digits is 13720000, while the sum is 57.

The spelling of 55757807580 in words is "fifty-five billion, seven hundred fifty-seven million, eight hundred seven thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 89 116 145 174 178 267 290 348 356 435 445 534 580 870 890 1068 1335 1740 1780 2581 2670 5162 5340 7743 10324 12905 15486 25810 30972 38715 51620 77430 154860 360053 720106 1080159 1440212 1800265 2160318 3600530 4320636 5400795 7201060 10441537 10801590 20883074 21603180 31324611 32044717 41766148 52207685 62649222 64089434 96134151 104415370 125298444 128178868 156623055 160223585 192268302 208830740 313246110 320447170 384536604 480670755 626492220 640894340 929296793 961341510 1858593586 1922683020 2787890379 3717187172 4646483965 5575780758 9292967930 11151561516 13939451895 18585935860 27878903790 55757807580