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268180939840 = 26511445117117
BaseRepresentation
bin1111100111000011010…
…1000110010001000000
3221122012222202021221111
43321300311012101000
513343213310033330
6323111200133104
725242526243162
oct3716065062100
9848188667844
10268180939840
11a380a170470
1243b85307194
131c39b932068
14cda129c932
156e9901432a
hex3e70d46440

268180939840 has 112 divisors (see below), whose sum is σ = 696858168384. Its totient is φ = 97492736000.

The previous prime is 268180939837. The next prime is 268180939867. The reversal of 268180939840 is 48939081862.

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, 15658962 + ... + 15676078.

It is an arithmetic number, because the mean of its divisors is an integer number (6221947932).

Almost surely, 2268180939840 is an apocalyptic number.

268180939840 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 268180939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348429084192).

268180939840 is an abundant number, since it is smaller than the sum of its proper divisors (428677228544).

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

268180939840 is a wasteful number, since it uses less digits than its factorization.

268180939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21596 (or 21586 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 58.

The spelling of 268180939840 in words is "two hundred sixty-eight billion, one hundred eighty million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 4451 8902 17117 17804 22255 34234 35608 44510 48961 68468 71216 85585 89020 97922 136936 142432 171170 178040 188287 195844 244805 273872 284864 342340 356080 376574 391688 489610 547744 684680 712160 753148 783376 941435 979220 1095488 1369360 1424320 1506296 1566752 1882870 1958440 2738720 3012592 3133504 3765740 3916880 5477440 6025184 7531480 7833760 12050368 15062960 15667520 30125920 60251840 76187767 152375534 304751068 380938835 609502136 761877670 838065437 1219004272 1523755340 1676130874 2438008544 3047510680 3352261748 4190327185 4876017088 6095021360 6704523496 8380654370 12190042720 13409046992 16761308740 24380085440 26818093984 33522617480 53636187968 67045234960 134090469920 268180939840