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1966470011616 = 253111998009869
BaseRepresentation
bin11100100111011010101…
…111110001101011100000
320221222210200020221212110
4130213122233301223200
5224204312310332431
64103214524555320
7262033650206625
oct34473257615340
96858720227773
101966470011616
11698a80068290
122791469b2b40
1311358ba63066
146b26b6bc34c
1536244521346
hex1c9dabf1ae0

1966470011616 has 96 divisors (see below), whose sum is σ = 5927636937600. Its totient is φ = 564536839680.

The previous prime is 1966470011581. The next prime is 1966470011621. The reversal of 1966470011616 is 6161100746691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 48984871 + ... + 49024998.

It is an arithmetic number, because the mean of its divisors is an integer number (61746218100).

Almost surely, 21966470011616 is an apocalyptic number.

1966470011616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1966470011616 is an abundant number, since it is smaller than the sum of its proper divisors (3961166925984).

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

1966470011616 is a wasteful number, since it uses less digits than its factorization.

1966470011616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98009912 (or 98009904 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 1966470011616 in words is "one trillion, nine hundred sixty-six billion, four hundred seventy million, eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 114 132 152 176 209 228 264 304 352 418 456 528 608 627 836 912 1056 1254 1672 1824 2508 3344 5016 6688 10032 20064 98009869 196019738 294029607 392039476 588059214 784078952 1078108559 1176118428 1568157904 1862187511 2156217118 2352236856 3136315808 3234325677 3724375022 4312434236 4704473712 5586562533 6468651354 7448750044 8624868472 9408947424 11173125066 12937302708 14897500088 17249736944 20484062621 22346250132 25874605416 29795000176 34499473888 40968125242 44692500264 51749210832 59590000352 61452187863 81936250484 89385000528 103498421664 122904375726 163872500968 178770001056 245808751452 327745001936 491617502904 655490003872 983235005808 1966470011616