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11873414892420 = 22325143349099377
BaseRepresentation
bin1010110011000111111010…
…1011010100101110000100
31120001002100200212100220200
42230301332223110232010
53024013223203024140
641130323235530500
72333553201236514
oct254617653245604
946032320770820
1011873414892420
11386853a192a14
1213b9192759a30
13681873156573
142d0967c79844
15158cc4ca7030
hexacc7ead4b84

11873414892420 has 144 divisors (see below), whose sum is σ = 36052344684720. Its totient is φ = 3163052556288.

The previous prime is 11873414892403. The next prime is 11873414892467. The reversal of 11873414892420 is 2429841437811.

It is a happy number.

11873414892420 is a `hidden beast` number, since 1 + 1 + 8 + 73 + 4 + 148 + 9 + 2 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 642283633476 + 11231131258944 = 801426^2 + 3351288^2 .

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 47 ways as a sum of consecutive naturals, for example, 1266222772 + ... + 1266232148.

It is an arithmetic number, because the mean of its divisors is an integer number (250363504755).

Almost surely, 211873414892420 is an apocalyptic number.

11873414892420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11873414892420 is an abundant number, since it is smaller than the sum of its proper divisors (24178929792300).

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

11873414892420 is a wasteful number, since it uses less digits than its factorization.

11873414892420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15734 (or 15729 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 11873414892420 in words is "eleven trillion, eight hundred seventy-three billion, four hundred fourteen million, eight hundred ninety-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1433 2866 4299 4909 5732 7165 8598 9377 9818 12897 14330 14727 17196 18754 19636 21495 24545 25794 28131 28660 29454 37508 42990 44181 46885 49090 51588 56262 58908 64485 73635 84393 85980 88362 93770 98180 112524 128970 140655 147270 168786 176724 187540 220905 257940 281310 294540 337572 421965 441810 562620 843930 883620 1687860 7034597 13437241 14069194 21103791 26874482 28138388 35172985 40311723 42207582 46031693 53748964 63311373 67186205 70345970 80623446 84415164 92063386 105518955 120935169 126622746 134372410 138095079 140691940 161246892 184126772 201558615 211037910 230158465 241870338 253245492 268744820 276190158 316556865 403117230 414285237 422075820 460316930 483740676 552380316 604675845 633113730 690475395 806234460 828570474 920633860 1209351690 1266227460 1380950790 1657140948 2071426185 2418703380 2761901580 4142852370 8285704740 65963416069 131926832138 197890248207 263853664276 329817080345 395780496414 593670744621 659634160690 791560992828 989451241035 1187341489242 1319268321380 1978902482070 2374682978484 2968353723105 3957804964140 5936707446210 11873414892420