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3073137152 = 2911353117
BaseRepresentation
bin1011011100101100…
…0101101000000000
321221011122112122112
42313023011220000
522243210342102
61224535554452
7136104143351
oct26713055000
97834575575
103073137152
111337784478
1271922ba28
1339c8b0c67
14212203d28
1512ebde252
hexb72c5a00

3073137152 has 40 divisors (see below), whose sum is σ = 6194727396. Its totient is φ = 1522941952.

The previous prime is 3073137143. The next prime is 3073137161. The reversal of 3073137152 is 2517313703.

It is an interprime number because it is at equal distance from previous prime (3073137143) and next prime (3073137161).

It can be written as a sum of positive squares in 2 ways, for example, as 3066501376 + 6635776 = 55376^2 + 2576^2 .

It is a super-2 number, since 2×30731371522 = 18888343910005342208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31298 + ... + 84414.

Almost surely, 23073137152 is an apocalyptic number.

3073137152 is a gapful number since it is divisible by the number (32) 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 3073137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097363698).

3073137152 is an abundant number, since it is smaller than the sum of its proper divisors (3121590244).

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

3073137152 is an equidigital number, since it uses as much as digits as its factorization.

3073137152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53248 (or 53232 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 3073137152 is about 55435.8832526370. The cubic root of 3073137152 is about 1453.8758221307.

The spelling of 3073137152 in words is "three billion, seventy-three million, one hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1808 3616 7232 14464 28928 53117 57856 106234 212468 424936 849872 1699744 3399488 6002221 6798976 12004442 13597952 24008884 27195904 48017768 96035536 192071072 384142144 768284288 1536568576 3073137152