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255429151552640 = 2751371432403087
BaseRepresentation
bin111010000100111110111011…
…110101111111010010000000
31020111101210021202021010112002
4322010332323311333102000
5231434422400244141030
62303130310550323132
7104542101330564362
oct7204767365772200
91214353252233462
10255429151552640
117442999303325a
1224793a6a0594a8
13ac6ab33a62b80
144710ba0644d32
151e7e4721eb245
hexe84fbbd7f480

255429151552640 has 128 divisors (see below), whose sum is σ = 666869338437120. Its totient is φ = 92983959613440.

The previous prime is 255429151552469. The next prime is 255429151552651. The reversal of 255429151552640 is 46255151924552.

It is a tau number, because it is divible by the number of its divisors (128).

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, 215610824 + ... + 216792263.

It is an arithmetic number, because the mean of its divisors is an integer number (5209916706540).

Almost surely, 2255429151552640 is an apocalyptic number.

255429151552640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255429151552640 is an abundant number, since it is smaller than the sum of its proper divisors (411440186884480).

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

255429151552640 is a wasteful number, since it uses less digits than its factorization.

255429151552640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432403190 (or 432403178 counting only the distinct ones).

The product of its (nonzero) digits is 21600000, while the sum is 56.

The spelling of 255429151552640 in words is "two hundred fifty-five trillion, four hundred twenty-nine billion, one hundred fifty-one million, five hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 71 80 104 128 130 142 160 208 260 284 320 355 416 520 568 640 710 832 923 1040 1136 1420 1664 1846 2080 2272 2840 3692 4160 4544 4615 5680 7384 8320 9088 9230 11360 14768 18460 22720 29536 36920 45440 59072 73840 118144 147680 295360 590720 432403087 864806174 1729612348 2162015435 3459224696 4324030870 5621240131 6918449392 8648061740 11242480262 13836898784 17296123480 22484960524 27673797568 28106200655 30700619177 34592246960 44969921048 55347595136 56212401310 61401238354 69184493920 89939842096 112424802620 122802476708 138368987840 153503095885 179879684192 224849605240 245604953416 276737975680 307006191770 359759368384 399108049301 449699210480 491209906832 614012383540 719518736768 798216098602 899398420960 982419813664 1228024767080 1596432197204 1798796841920 1964839627328 1995540246505 2456049534160 3192864394408 3597593683840 3929679254656 3991080493010 4912099068320 6385728788816 7982160986020 9824198136640 12771457577632 15964321972040 19648396273280 25542915155264 31928643944080 51085830310528 63857287888160 127714575776320 255429151552640