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5012201656 = 23711103197401
BaseRepresentation
bin1001010101100000…
…00010000010111000
3110221022100020002101
410222300002002320
540231110423111
62145204513144
7235131003550
oct45260020270
913838306071
105012201656
112142291320
12b7a6ab7b4
1361b5415c7
1435795a160
151e5066bc1
hex12ac020b8

5012201656 has 128 divisors (see below), whose sum is σ = 11920296960. Its totient is φ = 1919232000.

The previous prime is 5012201651. The next prime is 5012201669. The reversal of 5012201656 is 6561022105.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5012201651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12499056 + ... + 12499456.

It is an arithmetic number, because the mean of its divisors is an integer number (93127320).

Almost surely, 25012201656 is an apocalyptic number.

5012201656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5012201656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960148480).

5012201656 is an abundant number, since it is smaller than the sum of its proper divisors (6908095304).

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

5012201656 is a wasteful number, since it uses less digits than its factorization.

5012201656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 5012201656 is about 70796.9042826026. The cubic root of 5012201656 is about 1711.3657859510.

The spelling of 5012201656 in words is "five billion, twelve million, two hundred one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 103 154 197 206 308 394 401 412 616 721 788 802 824 1133 1379 1442 1576 1604 2167 2266 2758 2807 2884 3208 4334 4411 4532 5516 5614 5768 7931 8668 8822 9064 11032 11228 15169 15862 17336 17644 20291 22456 30338 30877 31724 35288 40582 41303 60676 61754 63448 78997 81164 82606 121352 123508 142037 157994 162328 165212 223201 247016 284074 289121 315988 330424 446402 454333 552979 568148 578242 631976 868967 892804 908666 1105958 1136296 1156484 1562407 1737934 1785608 1817332 2211916 2312968 3124814 3180331 3475868 3634664 4423832 6082769 6249628 6360662 6951736 8136691 12165538 12499256 12721324 16273382 24331076 25442648 32546764 48662152 56956837 65093528 89503601 113913674 179007202 227827348 358014404 455654696 626525207 716028808 1253050414 2506100828 5012201656