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193993616640 = 2835371365383
BaseRepresentation
bin1011010010101011101…
…0111010110100000000
3200112201202012210111110
42310222322322310000
511134244331213030
6225041444243320
720005225351155
oct2645272726400
9615652183443
10193993616640
11752aa38050a
12317200a0540
13153a7b29a95
1495644d022c
1550a5eca1b0
hex2d2aebad00

193993616640 has 144 divisors (see below), whose sum is σ = 636312636288. Its totient is φ = 50333442048.

The previous prime is 193993616629. The next prime is 193993616699. The reversal of 193993616640 is 46616399391.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540612 + ... + 824771.

It is an arithmetic number, because the mean of its divisors is an integer number (4418837752).

Almost surely, 2193993616640 is an apocalyptic number.

193993616640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193993616640 is an abundant number, since it is smaller than the sum of its proper divisors (442319019648).

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

193993616640 is a wasteful number, since it uses less digits than its factorization.

193993616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365444 (or 1365430 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 57.

The spelling of 193993616640 in words is "one hundred ninety-three billion, nine hundred ninety-three million, six hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 128 148 160 185 192 222 240 256 296 320 370 384 444 480 555 592 640 740 768 888 960 1110 1184 1280 1480 1776 1920 2220 2368 2960 3552 3840 4440 4736 5920 7104 8880 9472 11840 14208 17760 23680 28416 35520 47360 71040 142080 1365383 2730766 4096149 5461532 6826915 8192298 10923064 13653830 16384596 20480745 21846128 27307660 32769192 40961490 43692256 50519171 54615320 65538384 81922980 87384512 101038342 109230640 131076768 151557513 163845960 174769024 202076684 218461280 252595855 262153536 303115026 327691920 349538048 404153368 436922560 505191710 524307072 606230052 655383840 757787565 808306736 873845120 1010383420 1048614144 1212460104 1310767680 1515575130 1616613472 1747690240 2020766840 2424920208 2621535360 3031150260 3233226944 4041533680 4849840416 5243070720 6062300520 6466453888 8083067360 9699680832 12124601040 12932907776 16166134720 19399361664 24249202080 32332269440 38798723328 48498404160 64664538880 96996808320 193993616640