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5020103418 = 2311323151181
BaseRepresentation
bin1001010110011100…
…01011001011111010
3110221212012200021020
410223032023023322
540240121302133
62150050123310
7235255114011
oct45316131372
913855180236
105020103418
112146799000
12b81280536
1362007a0c5
14358a15a78
151e5ac80b3
hex12b38b2fa

5020103418 has 128 divisors (see below), whose sum is σ = 11664027648. Its totient is φ = 1437480000.

The previous prime is 5020103399. The next prime is 5020103419. The reversal of 5020103418 is 8143010205.

It is not an unprimeable number, because it can be changed into a prime (5020103419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27735288 + ... + 27735468.

It is an arithmetic number, because the mean of its divisors is an integer number (91125216).

Almost surely, 25020103418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5020103418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832013824).

5020103418 is an abundant number, since it is smaller than the sum of its proper divisors (6643924230).

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

5020103418 is a wasteful number, since it uses less digits than its factorization.

5020103418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5020103418 is about 70852.6881494273. The cubic root of 5020103418 is about 1712.2646394571.

The spelling of 5020103418 in words is "five billion, twenty million, one hundred three thousand, four hundred eighteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 151 181 242 253 302 362 363 453 506 543 726 759 906 1086 1331 1518 1661 1991 2662 2783 3322 3473 3982 3993 4163 4983 5566 5973 6946 7986 8326 8349 9966 10419 11946 12489 16698 18271 20838 21901 24978 27331 30613 36542 38203 43802 45793 54662 54813 61226 65703 76406 81993 91586 91839 109626 114609 131406 137379 163986 183678 200981 229218 240911 274758 300641 401962 420233 481822 503723 601282 602943 628613 722733 840466 901923 1007446 1205886 1257226 1260699 1445466 1511169 1803846 1885839 2521398 3022338 3307051 3771678 4622563 5540953 6614102 6914743 9245126 9921153 11081906 13829486 13867689 16622859 19842306 20744229 27735378 33245718 36377561 41488458 72755122 76062173 109132683 152124346 218265366 228186519 456373038 836683903 1673367806 2510051709 5020103418