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161014752256 = 2101139671439
BaseRepresentation
bin1001010111110100111…
…0100010010000000000
3120101121101122220101211
42111331032202100000
510114224234033011
6201545200535504
714430044545411
oct2257516422000
9511541586354
10161014752256
11623166a2596
1227257621594
1312250570747
147b165c1808
1542c5ad4b21
hex257d3a2400

161014752256 has 88 divisors (see below), whose sum is σ = 325282383360. Its totient is φ = 79657009152.

The previous prime is 161014752253. The next prime is 161014752383. The reversal of 161014752256 is 652257410161.

It is a super-2 number, since 2×1610147522562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161014752253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111892785 + ... + 111894223.

It is an arithmetic number, because the mean of its divisors is an integer number (3696390720).

Almost surely, 2161014752256 is an apocalyptic number.

161014752256 is a gapful number since it is divisible by the number (16) 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 161014752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162641191680).

161014752256 is an abundant number, since it is smaller than the sum of its proper divisors (164267631104).

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

161014752256 is a wasteful number, since it uses less digits than its factorization.

161014752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 161014752256 in words is "one hundred sixty-one billion, fourteen million, seven hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 967 1024 1439 1808 1934 2878 3616 3868 5756 7232 7736 11512 14464 15472 23024 28928 30944 46048 57856 61888 92096 109271 115712 123776 162607 184192 218542 247552 325214 368384 437084 495104 650428 736768 874168 990208 1300856 1391513 1473536 1748336 2601712 2783026 3496672 5203424 5566052 6993344 10406848 11132104 13986688 20813696 22264208 27973376 41627392 44528416 55946752 83254784 89056832 111893504 157240969 166509568 178113664 314481938 356227328 628963876 712454656 1257927752 1424909312 2515855504 5031711008 10063422016 20126844032 40253688064 80507376128 161014752256