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190497080805768 = 2332111912659295641
BaseRepresentation
bin101011010100000110001110…
…110101010000100110001000
3220222111100021002122002022200
4223110012032311100212020
5144432101010141241033
61513053052323120200
755060650151034322
oct5324061665204610
9828440232562280
10190497080805768
11557753a3958a10
121944773ab13060
13823aa4a54cc79
143508172148612
1517053ed84d013
hexad418ed50988

190497080805768 has 96 divisors (see below), whose sum is σ = 592455036045600. Its totient is φ = 54688157164800.

The previous prime is 190497080805677. The next prime is 190497080805781. The reversal of 190497080805768 is 867508080794091.

190497080805768 is a `hidden beast` number, since 1 + 9 + 0 + 49 + 7 + 0 + 8 + 0 + 8 + 0 + 576 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 190497080805696 and 190497080805705.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6329632773 + ... + 6329662868.

It is an arithmetic number, because the mean of its divisors is an integer number (6171406625475).

Almost surely, 2190497080805768 is an apocalyptic number.

190497080805768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

190497080805768 is an abundant number, since it is smaller than the sum of its proper divisors (401957955239832).

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

190497080805768 is a wasteful number, since it uses less digits than its factorization.

190497080805768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12659295683 (or 12659295676 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 190497080805768 in words is "one hundred ninety trillion, four hundred ninety-seven billion, eighty million, eight hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 15048 12659295641 25318591282 37977886923 50637182564 75955773846 101274365128 113933660769 139252252051 151911547692 227867321538 240526617179 278504504102 303823095384 417756756153 455734643076 481053234358 557009008204 721579851537 835513512306 911469286152 962106468716 1114018016408 1253270268459 1443159703074 1671027024612 1924212937432 2164739554611 2506540536918 2645792788969 2886319406148 3342054049224 4329479109222 5013081073836 5291585577938 5772638812296 7937378366907 8658958218444 10026162147672 10583171155876 15874756733814 17317916436888 21166342311752 23812135100721 31749513467628 47624270201442 63499026935256 95248540402884 190497080805768