Search a number
-
+
5312151936 = 2733721319127
BaseRepresentation
bin1001111001010000…
…10000000110000000
3111201012202021112000
410330220100012000
541334402330221
62235041504000
7245432355300
oct47450200600
914635667460
105312151936
112286631413
121043042000
13668722890
14385719600
15211565e26
hex13ca10180

5312151936 has 768 divisors, whose sum is σ = 20837376000. Its totient is φ = 1316818944.

The previous prime is 5312151919. The next prime is 5312151953. The reversal of 5312151936 is 6391512135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5312151919) and next prime (5312151953).

It is a super-2 number, since 2×53121519362 = 56437916382297096192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5312151936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41827905 + ... + 41828031.

It is an arithmetic number, because the mean of its divisors is an integer number (27132000).

Almost surely, 25312151936 is an apocalyptic number.

5312151936 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 5312151936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10418688000).

5312151936 is an abundant number, since it is smaller than the sum of its proper divisors (15525224064).

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

5312151936 is a wasteful number, since it uses less digits than its factorization.

5312151936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 5312151936 is about 72884.5109471141. The cubic root of 5312151936 is about 1744.8449038543.

The spelling of 5312151936 in words is "five billion, three hundred twelve million, one hundred fifty-one thousand, nine hundred thirty-six".