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8153132505 = 3571512332207
BaseRepresentation
bin1111001011111011…
…01110110111011001
3210001012120001012120
413211331232313121
5113144200220010
63425005531453
7406020324420
oct74575566731
923035501176
108153132505
11350425a141
1216b6573b89
139cc19aa7b
14574b6a2b7
1532ab97e70
hex1e5f6edd9

8153132505 has 64 divisors (see below), whose sum is σ = 15078555648. Its totient is φ = 3684902400.

The previous prime is 8153132489. The next prime is 8153132539. The reversal of 8153132505 is 5052313518.

It is not a de Polignac number, because 8153132505 - 24 = 8153132489 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3693112 + ... + 3695318.

It is an arithmetic number, because the mean of its divisors is an integer number (235602432).

Almost surely, 28153132505 is an apocalyptic number.

It is an amenable number.

8153132505 is a deficient number, since it is larger than the sum of its proper divisors (6925423143).

8153132505 is a wasteful number, since it uses less digits than its factorization.

8153132505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2606.

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 8153132505 is about 90294.6981001653. The cubic root of 8153132505 is about 2012.6804749484.

It can be divided in two parts, 81 and 53132505, that added together give a triangular number (53132586 = T10308).

The spelling of 8153132505 in words is "eight billion, one hundred fifty-three million, one hundred thirty-two thousand, five hundred five".

Divisors: 1 3 5 7 15 21 35 105 151 233 453 699 755 1057 1165 1631 2207 2265 3171 3495 4893 5285 6621 8155 11035 15449 15855 24465 33105 35183 46347 77245 105549 175915 231735 246281 333257 514231 527745 738843 999771 1231405 1542693 1666285 2332799 2571155 3599617 3694215 4998855 6998397 7713465 10798851 11663995 17998085 34991985 53994255 77648881 232946643 388244405 543542167 1164733215 1630626501 2717710835 8153132505