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5016132264 = 23311132112429
BaseRepresentation
bin1001010101111110…
…00001101010101000
3110221120201220212110
410222333001222220
540233112213024
62145425042320
7235206264213
oct45277015250
913846656773
105016132264
112144526460
12b7ba863a0
1361c2b9700
143582a077a
151e5591629
hex12afc1aa8

5016132264 has 96 divisors (see below), whose sum is σ = 14813776800. Its totient is φ = 1403101440.

The previous prime is 5016132211. The next prime is 5016132281. The reversal of 5016132264 is 4622316105.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 11599 + ... + 100830.

It is an arithmetic number, because the mean of its divisors is an integer number (154310175).

Almost surely, 25016132264 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 5016132264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7406888400).

5016132264 is an abundant number, since it is smaller than the sum of its proper divisors (9797644536).

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

5016132264 is a wasteful number, since it uses less digits than its factorization.

5016132264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112475 (or 112458 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5016132264 is about 70824.6585872463. The cubic root of 5016132264 is about 1711.8130245697.

Adding to 5016132264 its reverse (4622316105), we get a palindrome (9638448369).

The spelling of 5016132264 in words is "five billion, sixteen million, one hundred thirty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 169 264 286 312 338 429 507 572 676 858 1014 1144 1352 1716 1859 2028 3432 3718 4056 5577 7436 11154 14872 22308 44616 112429 224858 337287 449716 674574 899432 1236719 1349148 1461577 2473438 2698296 2923154 3710157 4384731 4946876 5846308 7420314 8769462 9893752 11692616 14840628 16077347 17538924 19000501 29681256 32154694 35077848 38001002 48232041 57001503 64309388 76002004 96464082 114003006 128618776 152004008 192928164 209005511 228006012 385856328 418011022 456012024 627016533 836022044 1254033066 1672044088 2508066132 5016132264