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20674334100 = 22352717579113
BaseRepresentation
bin10011010000010010…
…010100110110010100
31222100211101222201210
4103100102110312110
5314320112142400
613255254421420
71331220640350
oct232022246624
958324358653
1020674334100
11884a139232
12400b961870
131c462cb9b4
141001a9c460
1581006d950
hex4d0494d94

20674334100 has 144 divisors (see below), whose sum is σ = 72384617088. Its totient is φ = 4447580160.

The previous prime is 20674334099. The next prime is 20674334111. The reversal of 20674334100 is 143347602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253857 + ... + 325256.

It is an arithmetic number, because the mean of its divisors is an integer number (502670952).

Almost surely, 220674334100 is an apocalyptic number.

20674334100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20674334100 is an abundant number, since it is smaller than the sum of its proper divisors (51710282988).

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

20674334100 is a wasteful number, since it uses less digits than its factorization.

20674334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579154 (or 579147 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 20674334100 in words is "twenty billion, six hundred seventy-four million, three hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 579113 1158226 1737339 2316452 2895565 3474678 4053791 5791130 6949356 8107582 8686695 9844921 11582260 12161373 14477825 16215164 17373390 19689842 20268955 24322746 28955650 29534763 34746780 39379684 40537910 43433475 48645492 49224605 57911300 59069526 60806865 68914447 81075820 86866950 98449210 101344775 118139052 121613730 137828894 147673815 173733900 196898420 202689550 206743341 243227460 246123025 275657788 295347630 304034325 344572235 405379100 413486682 492246050 590695260 608068650 689144470 738369075 826973364 984492100 1033716705 1216137300 1378288940 1476738150 1722861175 2067433410 2953476300 3445722350 4134866820 5168583525 6891444700 10337167050 20674334100