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9014252660 = 225731498819
BaseRepresentation
bin10000110010100101…
…01001010001110100
3212021012220110222122
420121102221101310
5121430122041120
64050250415112
7436244612000
oct103122512164
925235813878
109014252660
113906346496
1218b6a31498
13b0870071a
14617285700
1537b594a25
hex2194a9474

9014252660 has 96 divisors (see below), whose sum is σ = 22226400000. Its totient is φ = 3069510528.

The previous prime is 9014252657. The next prime is 9014252683. The reversal of 9014252660 is 662524109.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 9014252660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017731 + ... + 1026549.

It is an arithmetic number, because the mean of its divisors is an integer number (231525000).

Almost surely, 29014252660 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 9014252660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11113200000).

9014252660 is an abundant number, since it is smaller than the sum of its proper divisors (13212147340).

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

9014252660 is a wasteful number, since it uses less digits than its factorization.

9014252660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8998 (or 8982 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 9014252660 is about 94943.4182026327. The cubic root of 9014252660 is about 2081.1812708834.

Adding to 9014252660 its reverse (662524109), we get a palindrome (9676776769).

The spelling of 9014252660 in words is "nine billion, fourteen million, two hundred fifty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 343 490 596 686 745 980 1043 1372 1490 1715 2086 2980 3430 4172 5215 6860 7301 8819 10430 14602 17638 20860 29204 35276 36505 44095 51107 61733 73010 88190 102214 123466 146020 176380 204428 246932 255535 308665 432131 511070 617330 864262 1022140 1234660 1314031 1728524 2160655 2628062 3024917 4321310 5256124 6049834 6570155 8642620 9198217 12099668 13140310 15124585 18396434 26280620 30249170 36792868 45991085 60498340 64387519 91982170 128775038 183964340 257550076 321937595 450712633 643875190 901425266 1287750380 1802850532 2253563165 4507126330 9014252660