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190916263245978 = 233171330971562543
BaseRepresentation
bin101011011010001100101000…
…000011010111100010011010
3221000222102020122100101101000
4223122030220003113202122
5200010433001342332403
61514013415345405430
755133146660012104
oct5332145003274232
9830872218311330
10190916263245978
1155917150475586
12194b4a26339876
13826b43207553a
143520579bb6574
15171128431c7a3
hexada3280d789a

190916263245978 has 64 divisors (see below), whose sum is σ = 449218399633920. Its totient is φ = 59894809929216.

The previous prime is 190916263245959. The next prime is 190916263245997. The reversal of 190916263245978 is 879542362619091.

190916263245978 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 1 + 6 + 2 + 6 + 3 + 24 + 597 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (190916263245959) and next prime (190916263245997).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121401775 + ... + 122964317.

It is an arithmetic number, because the mean of its divisors is an integer number (7019037494280).

It is a 1-persistent number, because it is pandigital, but 2⋅190916263245978 = 381832526491956 is not.

Almost surely, 2190916263245978 is an apocalyptic number.

190916263245978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

190916263245978 is an abundant number, since it is smaller than the sum of its proper divisors (258302136387942).

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

190916263245978 is a wasteful number, since it uses less digits than its factorization.

190916263245978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695668 (or 1695662 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 190916263245978 in words is "one hundred ninety trillion, nine hundred sixteen billion, two hundred sixty-three million, two hundred forty-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 133097 266194 399291 798582 1197873 1562543 2262649 2395746 3125086 3593619 4525298 4687629 6787947 7187238 9375258 13575894 14062887 20363841 26563231 28125774 40727682 42188661 53126462 61091523 79689693 84377322 122183046 159379386 239069079 478138158 717207237 1434414474 207969785671 415939571342 623909357013 1247818714026 1871728071039 3535486356407 3743456142078 5615184213117 7070972712814 10606459069221 11230368426234 21212918138442 31819377207663 63638754415326 95458131622989 190916263245978