Search a number
-
+
151785640656 = 24321381082073
BaseRepresentation
bin1000110101011100100…
…0010001001011010000
3112111210012110110100200
42031113020101023100
54441324111000111
6153421313015200
713652250441456
oct2152710211320
9474705413320
10151785640656
1159410045431
1225500854500
131140c4b2670
1474bc9aa9d6
153e3574d256
hex23572112d0

151785640656 has 60 divisors (see below), whose sum is σ = 457465061508. Its totient is φ = 46703273472.

The previous prime is 151785640639. The next prime is 151785640673. The reversal of 151785640656 is 656046587151.

151785640656 is a `hidden beast` number, since 1 + 5 + 1 + 78 + 564 + 0 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (151785640639) and next prime (151785640673).

It can be written as a sum of positive squares in 2 ways, for example, as 13669351056 + 138116289600 = 116916^2 + 371640^2 .

It is a super-2 number, since 2×1517856406562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40539165 + ... + 40542908.

Almost surely, 2151785640656 is an apocalyptic number.

151785640656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151785640656 is an abundant number, since it is smaller than the sum of its proper divisors (305679420852).

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

151785640656 is a wasteful number, since it uses less digits than its factorization.

151785640656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81082100 (or 81082091 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 151785640656 in words is "one hundred fifty-one billion, seven hundred eighty-five million, six hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 81082073 162164146 243246219 324328292 486492438 648656584 729738657 972984876 1054066949 1297313168 1459477314 1945969752 2108133898 2918954628 3162200847 3891939504 4216267796 5837909256 6324401694 8432535592 9486602541 11675818512 12648803388 16865071184 18973205082 25297606776 37946410164 50595213552 75892820328 151785640656