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256101460692 = 223711277166083
BaseRepresentation
bin1110111010000011010…
…1100010101011010100
3220111001011002011200220
43232200311202223110
513143443433220232
6313352411034340
724334301332620
oct3564065425324
9814034064626
10256101460692
1199680663a50
1241773a3b9b0
131b1c519026c
14c576cb2180
1569dd7e442c
hex3ba0d62ad4

256101460692 has 48 divisors (see below), whose sum is σ = 745022433792. Its totient is φ = 66519859680.

The previous prime is 256101460669. The next prime is 256101460711. The reversal of 256101460692 is 296064101652.

256101460692 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 2×2561014606922 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 138582118 + ... + 138583965.

It is an arithmetic number, because the mean of its divisors is an integer number (15521300704).

Almost surely, 2256101460692 is an apocalyptic number.

256101460692 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

256101460692 is an abundant number, since it is smaller than the sum of its proper divisors (488920973100).

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

256101460692 is a wasteful number, since it uses less digits than its factorization.

256101460692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277166108 (or 277166106 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 256101460692 in words is "two hundred fifty-six billion, one hundred one million, four hundred sixty thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 277166083 554332166 831498249 1108664332 1662996498 1940162581 3048826913 3325992996 3880325162 5820487743 6097653826 7760650324 9146480739 11640975486 12195307652 18292961478 21341788391 23281950972 36585922956 42683576782 64025365173 85367153564 128050730346 256101460692