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63116144 = 2471367647
BaseRepresentation
bin1111000011000…
…1001101110000
311101202122001222
43300301031300
5112124204034
610132444212
71364323040
oct360611560
9141678058
1063116144
113269a103
1219179668
13100cb440
14854d720
15581b12e
hex3c31370

63116144 has 80 divisors (see below), whose sum is σ = 152990208. Its totient is φ = 24558336.

The previous prime is 63116143. The next prime is 63116161. The reversal of 63116144 is 44161136.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63116143) 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, 97229 + ... + 97875.

Almost surely, 263116144 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 63116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76495104).

63116144 is an abundant number, since it is smaller than the sum of its proper divisors (89874064).

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

63116144 is a wasteful number, since it uses less digits than its factorization.

63116144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 63116144 is about 7944.5669485504. The cubic root of 63116144 is about 398.1500911151.

The spelling of 63116144 in words is "sixty-three million, one hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 67 91 104 112 134 182 208 268 364 469 536 647 728 871 938 1072 1294 1456 1742 1876 2588 3484 3752 4529 5176 6097 6968 7504 8411 9058 10352 12194 13936 16822 18116 24388 33644 36232 43349 48776 58877 67288 72464 86698 97552 117754 134576 173396 235508 303443 346792 471016 563537 606886 693584 942032 1127074 1213772 2254148 2427544 3944759 4508296 4855088 7889518 9016592 15779036 31558072 63116144