Search a number
-
+
87106753044 = 223233710936569
BaseRepresentation
bin101000100011111110…
…1111001001000010100
322022211121201112102200
41101013331321020110
52411343312044134
6104003304004500
76202405120143
oct1210775711024
9268747645380
1087106753044
1133a3a544903
1214a6ba60730
1382a25a722c
14430496375a
1523ec373499
hex1447f79214

87106753044 has 72 divisors (see below), whose sum is σ = 221075585640. Its totient is φ = 28918536192.

The previous prime is 87106753009. The next prime is 87106753051. The reversal of 87106753044 is 44035760178.

87106753044 is a `hidden beast` number, since 8 + 7 + 10 + 67 + 530 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 48021463044 + 39085290000 = 219138^2 + 197700^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13256992 + ... + 13263560.

It is an arithmetic number, because the mean of its divisors is an integer number (3070494245).

Almost surely, 287106753044 is an apocalyptic number.

It is an amenable number.

87106753044 is an abundant number, since it is smaller than the sum of its proper divisors (133968832596).

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

87106753044 is a wasteful number, since it uses less digits than its factorization.

87106753044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8009 (or 8004 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 87106753044 in words is "eighty-seven billion, one hundred six million, seven hundred fifty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 337 674 1011 1093 1348 2022 2186 3033 3279 4044 4372 6066 6558 6569 9837 12132 13116 13138 19674 19707 26276 39348 39414 59121 78828 118242 236484 368341 736682 1105023 1473364 2210046 2213753 3315069 4420092 4427506 6630138 6641259 7179917 8855012 13260276 13282518 14359834 19923777 21539751 26565036 28719668 39847554 43079502 64619253 79695108 86159004 129238506 258477012 2419632029 4839264058 7258896087 9678528116 14517792174 21776688261 29035584348 43553376522 87106753044