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5431464136 = 2373722911447
BaseRepresentation
bin1010000111011110…
…11001000011001000
3112000112020222002101
411003233121003020
542110423323021
62254543043144
7251411453260
oct50357310310
915015228071
105431464136
112337a1343a
121076ba04b4
13687368707
143974d67a0
1521bc82a91
hex143bd90c8

5431464136 has 64 divisors (see below), whose sum is σ = 12006662400. Its totient is φ = 2254770432.

The previous prime is 5431464133. The next prime is 5431464139. The reversal of 5431464136 is 6314641345.

It is an interprime number because it is at equal distance from previous prime (5431464133) and next prime (5431464139).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 5431464095 and 5431464104.

It is not an unprimeable number, because it can be changed into a prime (5431464131) 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, 468765 + ... + 480211.

It is an arithmetic number, because the mean of its divisors is an integer number (187604100).

Almost surely, 25431464136 is an apocalyptic number.

5431464136 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 5431464136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6003331200).

5431464136 is an abundant number, since it is smaller than the sum of its proper divisors (6575198264).

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

5431464136 is a wasteful number, since it uses less digits than its factorization.

5431464136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11726 (or 11722 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 5431464136 is about 73698.4676638531. The cubic root of 5431464136 is about 1757.8115162413.

The spelling of 5431464136 in words is "five billion, four hundred thirty-one million, four hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 37 56 74 148 229 259 296 458 518 916 1036 1603 1832 2072 3206 6412 8473 11447 12824 16946 22894 33892 45788 59311 67784 80129 91576 118622 160258 237244 320516 423539 474488 641032 847078 1694156 2621363 2964773 3388312 5242726 5929546 10485452 11859092 18349541 20970904 23718184 36699082 73398164 96990431 146796328 193980862 387961724 678933017 775923448 1357866034 2715732068 5431464136