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10214780545350 = 23252315912410887
BaseRepresentation
bin1001010010100101000001…
…0111011010100101000110
31100011112010121201102211100
42110221100113122211012
52314324332304422400
633420334433320530
72102664533015253
oct224512027324506
940145117642740
1010214780545350
113289078356757
12118b839406146
135913326b7304
1427458022a42a
1512aa9accd100
hex94a505da946

10214780545350 has 144 divisors (see below), whose sum is σ = 28809146096640. Its totient is φ = 2591392996800.

The previous prime is 10214780545337. The next prime is 10214780545373. The reversal of 10214780545350 is 5354508741201.

10214780545350 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 4 + 78 + 0 + 545 + 35 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10214780545296 and 10214780545305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5382394 + ... + 7028493.

It is an arithmetic number, because the mean of its divisors is an integer number (200063514560).

Almost surely, 210214780545350 is an apocalyptic number.

10214780545350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10214780545350 is an abundant number, since it is smaller than the sum of its proper divisors (18594365551290).

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

10214780545350 is a wasteful number, since it uses less digits than its factorization.

10214780545350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12410995 (or 12410987 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 10214780545350 in words is "ten trillion, two hundred fourteen billion, seven hundred eighty million, five hundred forty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 59 62 75 90 93 118 150 155 177 186 225 279 295 310 354 450 465 531 558 590 775 885 930 1062 1395 1475 1550 1770 1829 2325 2655 2790 2950 3658 4425 4650 5310 5487 6975 8850 9145 10974 13275 13950 16461 18290 26550 27435 32922 45725 54870 82305 91450 137175 164610 274350 411525 823050 12410887 24821774 37232661 62054435 74465322 111697983 124108870 186163305 223395966 310272175 372326610 384737497 558489915 620544350 732242333 769474994 930816525 1116979830 1154212491 1464484666 1861633050 1923687485 2196726999 2308424982 2792449575 3462637473 3661211665 3847374970 4393453998 5584899150 5771062455 6590180997 6925274946 7322423330 9618437425 10983634995 11542124910 13180361994 17313187365 18306058325 19236874850 21967269990 22699512323 28855312275 32950904985 34626374730 36612116650 45399024646 54918174975 57710624550 65901809970 68098536969 86565936825 109836349950 113497561615 136197073938 164754524925 173131873650 204295610907 226995123230 329509049850 340492684845 408591221814 567487808075 680985369690 1021478054535 1134975616150 1702463424225 2042956109070 3404926848450 5107390272675 10214780545350