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268446815040 = 26351716448947
BaseRepresentation
bin1111101000000010101…
…1010101001101000000
3221122220112001011011010
43322000223111031000
513344234341040130
6323153414520520
725252235164425
oct3720053251500
9848815034133
10268446815040
11a3936257438
124403a366140
131c411a42571
14cdc870bd4c
156eb25320b0
hex3e80ad5340

268446815040 has 112 divisors (see below), whose sum is σ = 902455083072. Its totient is φ = 67374882816.

The previous prime is 268446814997. The next prime is 268446815149. The reversal of 268446815040 is 40518644862.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 8208154 + ... + 8240793.

Almost surely, 2268446815040 is an apocalyptic number.

268446815040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268446815040 is an abundant number, since it is smaller than the sum of its proper divisors (634008268032).

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

268446815040 is a wasteful number, since it uses less digits than its factorization.

268446815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16448984 (or 16448974 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 268446815040 in words is "two hundred sixty-eight billion, four hundred forty-six million, eight hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 272 320 340 408 480 510 544 680 816 960 1020 1088 1360 1632 2040 2720 3264 4080 5440 8160 16320 16448947 32897894 49346841 65795788 82244735 98693682 131591576 164489470 197387364 246734205 263183152 279632099 328978940 394774728 493468410 526366304 559264198 657957880 789549456 838896297 986936820 1052732608 1118528396 1315915760 1398160495 1579098912 1677792594 1973873640 2237056792 2631831520 2796320990 3158197824 3355585188 3947747280 4194481485 4474113584 5263663040 5592641980 6711170376 7895494560 8388962970 8948227168 11185283960 13422340752 15790989120 16777925940 17896454336 22370567920 26844681504 33555851880 44741135840 53689363008 67111703760 89482271680 134223407520 268446815040