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4631689972 = 22713131137709
BaseRepresentation
bin1000101000001000…
…11111101011110100
3102221210100020012001
410110010133223310
533441203034342
62043333105044
7222530500210
oct42404375364
912853306161
104631689972
111a67517258
12a93188184
1358a764570
1431d1c9940
151c19528b7
hex11411faf4

4631689972 has 96 divisors (see below), whose sum is σ = 10139754240. Its totient is φ = 1802511360.

The previous prime is 4631689969. The next prime is 4631690083. The reversal of 4631689972 is 2799861364.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6532354 + ... + 6533062.

It is an arithmetic number, because the mean of its divisors is an integer number (105622440).

Almost surely, 24631689972 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 4631689972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5069877120).

4631689972 is an abundant number, since it is smaller than the sum of its proper divisors (5508064268).

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

4631689972 is a wasteful number, since it uses less digits than its factorization.

4631689972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 999 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 55.

The square root of 4631689972 is about 68056.5204223666. The cubic root of 4631689972 is about 1666.9138710833.

The spelling of 4631689972 in words is "four billion, six hundred thirty-one million, six hundred eighty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 131 137 182 262 274 364 524 548 709 917 959 1418 1703 1781 1834 1918 2836 3406 3562 3668 3836 4963 6812 7124 9217 9926 11921 12467 17947 18434 19852 23842 24934 35894 36868 47684 49868 64519 71788 92879 97133 125629 129038 185758 194266 233311 251258 258076 371516 388532 466622 502516 650153 679931 933244 1207427 1262729 1300306 1359862 1633177 2414854 2525458 2600612 2719724 3266354 4829708 5050916 6532708 8451989 8839103 12724423 16903978 17678206 25448846 33807956 35356412 50897692 89070961 165417499 178141922 330834998 356283844 661669996 1157922493 2315844986 4631689972