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354500023205196 = 2232111086182423541
BaseRepresentation
bin101000010011010100111011…
…1111101001011110101001100
31201111011212112010200012201100
41100212221313331023311030
5332431112021420031241
63253543021252143100
7134445532022302431
oct12046516775136514
91644155463605640
10354500023205196
11a2a55685337020
1233914590607a90
13122a629380756b
146377c6d6c3b88
152aeb55c1429b6
hex1426a77f4bd4c

354500023205196 has 72 divisors (see below), whose sum is σ = 977650688418768. Its totient is φ = 107414357328000.

The previous prime is 354500023205171. The next prime is 354500023205221. The reversal of 354500023205196 is 691502320005453.

354500023205196 is a `hidden beast` number, since 3 + 5 + 4 + 500 + 0 + 2 + 3 + 2 + 0 + 51 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (354500023205171) and next prime (354500023205221).

It is a super-2 number, since 2×3545000232051962 (a number of 30 digits) contains 22 as substring.

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, 36910815 + ... + 45512726.

It is an arithmetic number, because the mean of its divisors is an integer number (13578481783594).

Almost surely, 2354500023205196 is an apocalyptic number.

354500023205196 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

354500023205196 is an abundant number, since it is smaller than the sum of its proper divisors (623150665213572).

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

354500023205196 is a wasteful number, since it uses less digits than its factorization.

354500023205196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82434423 (or 82434418 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

Adding to 354500023205196 its sum of digits (45), we get a square (354500023205241 = 188281712).

The spelling of 354500023205196 in words is "three hundred fifty-four trillion, five hundred billion, twenty-three million, two hundred five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 10861 21722 32583 43444 65166 97749 119471 130332 195498 238942 358413 390996 477884 716826 1075239 1433652 2150478 4300956 82423541 164847082 247270623 329694164 494541246 741811869 906658951 989082492 1483623738 1813317902 2719976853 2967247476 3626635804 5439953706 8159930559 10879907412 16319861118 32639722236 895202078801 1790404157602 2685606236403 3580808315204 5371212472806 8056818709209 9847222866811 10742424945612 16113637418418 19694445733622 29541668600433 32227274836836 39388891467244 59083337200866 88625005801299 118166674401732 177250011602598 354500023205196