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10216770794640 = 2433531152580209
BaseRepresentation
bin1001010010101100011011…
…1111100111010010010000
31100011201021022201120121000
42110223012333213102100
52314342421310412030
633421304131302000
72103065050606314
oct224530677472220
940151238646530
1010216770794640
1132899a9843483
1211900b3a4a900
1359158bb29407
142746cc6a7b44
1512ab658b6860
hex94ac6fe7490

10216770794640 has 160 divisors (see below), whose sum is σ = 36326296396800. Its totient is φ = 2636585994240.

The previous prime is 10216770794621. The next prime is 10216770794663. The reversal of 10216770794640 is 4649707761201.

It is a happy number.

10216770794640 is a `hidden beast` number, since 10 + 2 + 167 + 7 + 0 + 7 + 9 + 464 + 0 = 666.

10216770794640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×102167707946403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 76223145 + ... + 76357064.

It is an arithmetic number, because the mean of its divisors is an integer number (227039352480).

Almost surely, 210216770794640 is an apocalyptic number.

10216770794640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10216770794640 is an abundant number, since it is smaller than the sum of its proper divisors (26109525602160).

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

10216770794640 is a wasteful number, since it uses less digits than its factorization.

10216770794640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152580262 (or 152580250 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 10216770794640 in words is "ten trillion, two hundred sixteen billion, seven hundred seventy million, seven hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 22320 33480 66960 152580209 305160418 457740627 610320836 762901045 915481254 1220641672 1373221881 1525802090 1830962508 2288703135 2441283344 2746443762 3051604180 3661925016 4119665643 4577406270 4729986479 5492887524 6103208360 6866109405 7323850032 8239331286 9154812540 9459972958 10985775048 12206416720 13732218810 14189959437 16478662572 18309625080 18919945916 20598328215 21971550096 23649932395 27464437620 28379918874 32957325144 36619250160 37839891832 41196656430 42569878311 47299864790 54928875240 56759837748 65914650288 70949797185 75679783664 82393312860 85139756622 94599729580 109857750480 113519675496 127709634933 141899594370 164786625720 170279513244 189199459160 212849391555 227039350992 255419269866 283799188740 329573251440 340559026488 378398918320 425698783110 510838539732 567598377480 638548174665 681118052976 851397566220 1021677079464 1135196754960 1277096349330 1702795132440 2043354158928 2554192698660 3405590264880 5108385397320 10216770794640