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8106155136 = 273319123449
BaseRepresentation
bin1111000110010101…
…00001110010000000
3202220221011100101000
413203022201302000
5113100133431021
63420211012000
7404610116232
oct74312416200
922827140330
108106155136
11348a793372
1216a289a000
139c2530401
1456c81c252
153269b8b26
hex1e32a1c80

8106155136 has 128 divisors (see below), whose sum is σ = 25183800000. Its totient is φ = 2559817728.

The previous prime is 8106155131. The next prime is 8106155147. The reversal of 8106155136 is 6315516018.

8106155136 is a `hidden beast` number, since 8 + 1 + 0 + 615 + 5 + 1 + 36 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8106155136.

It is not an unprimeable number, because it can be changed into a prime (8106155131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3940 + ... + 127388.

Almost surely, 28106155136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8106155136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591900000).

8106155136 is an abundant number, since it is smaller than the sum of its proper divisors (17077644864).

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

8106155136 is a wasteful number, since it uses less digits than its factorization.

8106155136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123491 (or 123473 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 8106155136 is about 90034.1887062909. The cubic root of 8106155136 is about 2008.8074190848.

The spelling of 8106155136 in words is "eight billion, one hundred six million, one hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 8208 10944 16416 21888 32832 65664 123449 246898 370347 493796 740694 987592 1111041 1481388 1975184 2222082 2345531 2962776 3333123 3950368 4444164 4691062 5925552 6666246 7036593 7900736 8888328 9382124 11851104 13332492 14073186 15801472 17776656 18764248 21109779 23702208 26664984 28146372 35553312 37528496 42219558 47404416 53329968 56292744 63329337 71106624 75056992 84439116 106659936 112585488 126658674 142213248 150113984 168878232 213319872 225170976 253317348 300227968 337756464 426639744 450341952 506634696 675512928 900683904 1013269392 1351025856 2026538784 2702051712 4053077568 8106155136