Search a number
-
+
514880100108 = 2232112221585413
BaseRepresentation
bin1110111111000010011…
…11101101011100001100
31211012222212202010012100
413133201033231130030
531413433301200413
61032311015235100
752125131432403
oct7374117553414
91735885663170
10514880100108
111893a54369a0
1283954378a90
1339725ba663a
141acc555663a
15d5d7161a73
hex77e13ed70c

514880100108 has 72 divisors (see below), whose sum is σ = 1420462579536. Its totient is φ = 155953756800.

The previous prime is 514880100089. The next prime is 514880100149. The reversal of 514880100108 is 801001088415.

It is a happy number.

It is a super-2 number, since 2×5148801001082 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586810 + ... + 1172222.

It is an arithmetic number, because the mean of its divisors is an integer number (19728646938).

Almost surely, 2514880100108 is an apocalyptic number.

It is an amenable number.

514880100108 is an abundant number, since it is smaller than the sum of its proper divisors (905582479428).

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

514880100108 is a wasteful number, since it uses less digits than its factorization.

514880100108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587655 (or 587650 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 514880100108 in words is "five hundred fourteen billion, eight hundred eighty million, one hundred thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2221 4442 6663 8884 13326 19989 24431 26652 39978 48862 73293 79956 97724 146586 219879 293172 439758 585413 879516 1170826 1756239 2341652 3512478 5268717 6439543 7024956 10537434 12879086 19318629 21074868 25758172 38637258 57955887 77274516 115911774 231823548 1300202273 2600404546 3900606819 5200809092 7801213638 11701820457 14302225003 15602427276 23403640914 28604450006 42906675009 46807281828 57208900012 85813350018 128720025027 171626700036 257440050054 514880100108