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268655183331720 = 233553155327199859
BaseRepresentation
bin111101000101011100101000…
…110001010000000110001000
31022020020011222122102201220220
4331011130220301100012020
5240203121303413103340
62351214253140350040
7110405460614023533
oct7505345061200610
91266204878381826
10268655183331720
117866902918a059
122616b2113a5320
13b6ba0c8c59813
144a4ada1b55a1a
15210d510386ed0
hexf45728c50188

268655183331720 has 128 divisors (see below), whose sum is σ = 821701242633600. Its totient is φ = 70244394881024.

The previous prime is 268655183331713. The next prime is 268655183331749. The reversal of 268655183331720 is 27133381556862.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 3722850 + ... + 23477009.

It is an arithmetic number, because the mean of its divisors is an integer number (6419540958075).

Almost surely, 2268655183331720 is an apocalyptic number.

268655183331720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268655183331720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410850621316800).

268655183331720 is an abundant number, since it is smaller than the sum of its proper divisors (553046059301880).

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

268655183331720 is a wasteful number, since it uses less digits than its factorization.

268655183331720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27201479 (or 27201475 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 268655183331720 in words is "two hundred sixty-eight trillion, six hundred fifty-five billion, one hundred eighty-three million, three hundred thirty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1553 1590 2120 3106 3180 4659 6212 6360 7765 9318 12424 15530 18636 23295 31060 37272 46590 62120 82309 93180 164618 186360 246927 329236 411545 493854 658472 823090 987708 1234635 1646180 1975416 2469270 3292360 4938540 9877080 27199859 54399718 81599577 108799436 135999295 163199154 217598872 271998590 326398308 407997885 543997180 652796616 815995770 1087994360 1441592527 1631991540 2883185054 3263983080 4324777581 5766370108 7207962635 8649555162 11532740216 14415925270 17299110324 21623887905 28831850540 34598220648 42241381027 43247775810 57663701080 84482762054 86495551620 126724143081 168965524108 172991103240 211206905135 253448286162 337931048216 422413810270 506896572324 633620715405 844827620540 1013793144648 1267241430810 1689655241080 2238793194431 2534482861620 4477586388862 5068965723240 6716379583293 8955172777724 11193965972155 13432759166586 17910345555448 22387931944310 26865518333172 33581897916465 44775863888620 53731036666344 67163795832930 89551727777240 134327591665860 268655183331720