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255146400135 = 325112232037341
BaseRepresentation
bin1110110110011111101…
…0010001100110000111
3220101120120222001220200
43231213322101212013
513140014434301020
6313113532501543
724301523421534
oct3554772214607
9811516861820
10255146400135
1199230544900
124154801a8b3
131b0a2358c83
14c4c6101d8b
156984a3d590
hex3b67e91987

255146400135 has 72 divisors (see below), whose sum is σ = 507249261792. Its totient is φ = 118328707200.

The previous prime is 255146400059. The next prime is 255146400137. The reversal of 255146400135 is 531004641552.

255146400135 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 4 + 640 + 0 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 255146400135 - 213 = 255146391943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 255146400135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255146400137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 893436 + ... + 1143905.

It is an arithmetic number, because the mean of its divisors is an integer number (7045128636).

Almost surely, 2255146400135 is an apocalyptic number.

255146400135 is a deficient number, since it is larger than the sum of its proper divisors (252102861657).

255146400135 is a wasteful number, since it uses less digits than its factorization.

255146400135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037397 (or 2037383 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 255146400135 in words is "two hundred fifty-five billion, one hundred forty-six million, four hundred thousand, one hundred thirty-five".

Divisors: 1 3 5 9 11 15 23 33 45 55 69 99 115 121 165 207 253 345 363 495 605 759 1035 1089 1265 1815 2277 2783 3795 5445 8349 11385 13915 25047 41745 125235 2037341 6112023 10186705 18336069 22410751 30560115 46858843 67232253 91680345 112053755 140576529 201696759 234294215 246518261 336161265 421729587 515447273 702882645 739554783 1008483795 1232591305 1546341819 2108647935 2218664349 2577236365 3697773915 4639025457 5669920003 7731709095 11093321745 17009760009 23195127285 28349600015 51029280027 85048800045 255146400135