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5103558954 = 23313193112343
BaseRepresentation
bin1001100000011001…
…00010000100101010
3111011200020122202000
410300030202010222
540423002341304
62202230551430
7240320351424
oct46014420452
914150218660
105103558954
11218990a41a
12ba5208576
1363444a290
14365b3b814
151ed0b0939
hex13032212a

5103558954 has 128 divisors (see below), whose sum is σ = 13272268800. Its totient is φ = 1439570880.

The previous prime is 5103558953. The next prime is 5103558959. The reversal of 5103558954 is 4598553015.

5103558954 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 558 + 95 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (5103558953) 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 63 ways as a sum of consecutive naturals, for example, 407307 + ... + 419649.

It is an arithmetic number, because the mean of its divisors is an integer number (103689600).

Almost surely, 25103558954 is an apocalyptic number.

5103558954 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103558954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636134400).

5103558954 is an abundant number, since it is smaller than the sum of its proper divisors (8168709846).

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

5103558954 is a wasteful number, since it uses less digits than its factorization.

5103558954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12417 (or 12411 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 5103558954 is about 71439.1976018768. The cubic root of 5103558954 is about 1721.7009217261.

The spelling of 5103558954 in words is "five billion, one hundred three million, five hundred fifty-eight thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 31 38 39 54 57 62 78 93 114 117 171 186 234 247 279 342 351 403 494 513 558 589 702 741 806 837 1026 1178 1209 1482 1674 1767 2223 2418 3534 3627 4446 5301 6669 7254 7657 10602 10881 12343 13338 15314 15903 21762 22971 24686 31806 37029 45942 68913 74058 111087 137826 160459 206739 222174 234517 320918 333261 382633 413478 469034 481377 666522 703551 765266 962754 1147899 1407102 1444131 2110653 2295798 2888262 3048721 3443697 4221306 4332393 4974229 6097442 6331959 6887394 7270027 8664786 9146163 9948458 10331091 12663918 14540054 14922687 18292326 20662182 21810081 27438489 29845374 43620162 44768061 54876978 65430243 82315467 89536122 94510351 130860486 134304183 164630934 189020702 196290729 268608366 283531053 392581458 567062106 850593159 1701186318 2551779477 5103558954