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5003564016 = 2431127734211
BaseRepresentation
bin1001010100011110…
…00101001111110000
3110220201002101110210
410222033011033300
540221403022031
62144255424120
7234664410123
oct45217051760
913821071423
105003564016
112138421780
12b77825040
13619808b89
1435674c3ba
151e440c746
hex12a3c53f0

5003564016 has 80 divisors (see below), whose sum is σ = 14152272768. Its totient is φ = 1510713600.

The previous prime is 5003564011. The next prime is 5003564047. The reversal of 5003564016 is 6104653005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003564011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129151 + ... + 163361.

Almost surely, 25003564016 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 5003564016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076136384).

5003564016 is an abundant number, since it is smaller than the sum of its proper divisors (9148708752).

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

5003564016 is a wasteful number, since it uses less digits than its factorization.

5003564016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34510 (or 34504 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 5003564016 is about 70735.8750281638. The cubic root of 5003564016 is about 1710.3821422884.

The spelling of 5003564016 in words is "five billion, three million, five hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 277 528 554 831 1108 1662 2216 3047 3324 4432 6094 6648 9141 12188 13296 18282 24376 34211 36564 48752 68422 73128 102633 136844 146256 205266 273688 376321 410532 547376 752642 821064 1128963 1505284 1642128 2257926 3010568 4515852 6021136 9031704 9476447 18063408 18952894 28429341 37905788 56858682 75811576 104240917 113717364 151623152 208481834 227434728 312722751 416963668 454869456 625445502 833927336 1250891004 1667854672 2501782008 5003564016