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87077027253 = 33137412272719
BaseRepresentation
bin101000100011000110…
…0011111110110110101
322022202112210022022110
41101012030133312311
52411313204333003
6104000322521233
76201564343056
oct1210614376665
9268675708273
1087077027253
1133a24791437
1214a61b06219
138299399cc8
144300a2672d
1523e9950a03
hex144631fdb5

87077027253 has 64 divisors (see below), whose sum is σ = 126691246080. Its totient is φ = 53072755200.

The previous prime is 87077027231. The next prime is 87077027267. The reversal of 87077027253 is 35272077078.

It is a happy number.

It is not a de Polignac number, because 87077027253 - 216 = 87076961717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87077027273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32024028 + ... + 32026746.

It is an arithmetic number, because the mean of its divisors is an integer number (1979550720).

Almost surely, 287077027253 is an apocalyptic number.

It is an amenable number.

87077027253 is a deficient number, since it is larger than the sum of its proper divisors (39614218827).

87077027253 is a wasteful number, since it uses less digits than its factorization.

87077027253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058.

The product of its (nonzero) digits is 1152480, while the sum is 48.

The spelling of 87077027253 in words is "eighty-seven billion, seventy-seven million, twenty-seven thousand, two hundred fifty-three".

Divisors: 1 3 31 37 41 93 111 123 227 681 1147 1271 1517 2719 3441 3813 4551 7037 8157 8399 9307 21111 25197 27921 47027 84289 100603 111479 141081 252867 260369 288517 301809 334437 344359 617213 781107 865551 1033077 1851639 3118693 3455849 4124723 9356079 10367547 10675129 12374169 19133603 22836881 25305733 32025387 57400809 68510643 75917199 127866413 383599239 707943311 784477723 936312121 2123829933 2353433169 2808936363 29025675751 87077027253