Search a number
-
+
251062116448 = 25111354864973
BaseRepresentation
bin1110100111010001110…
…1111110000001100000
3220000000221122221222111
43221310131332001200
513103133400211243
6311200352245104
724065360531113
oct3516435760140
9800027587874
10251062116448
1197525024040
12407a8240794
131a8a1137470
14c2198cc57a
1567e61ba39d
hex3a7477e060

251062116448 has 48 divisors (see below), whose sum is σ = 580690884816. Its totient is φ = 105340746240.

The previous prime is 251062116443. The next prime is 251062116463. The reversal of 251062116448 is 844611260152.

251062116448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2510621164482 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 251062116448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251062116443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27427911 + ... + 27437062.

It is an arithmetic number, because the mean of its divisors is an integer number (12097726767).

Almost surely, 2251062116448 is an apocalyptic number.

It is an amenable number.

251062116448 is an abundant number, since it is smaller than the sum of its proper divisors (329628768368).

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

251062116448 is a wasteful number, since it uses less digits than its factorization.

251062116448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54865007 (or 54864999 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 251062116448 in words is "two hundred fifty-one billion, sixty-two million, one hundred sixteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 54864973 109729946 219459892 438919784 603514703 713244649 877839568 1207029406 1426489298 1755679136 2414058812 2852978596 4828117624 5705957192 7845691139 9656235248 11411914384 15691382278 19312470496 22823828768 31382764556 62765529112 125531058224 251062116448