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151000116560 = 2459971893181
BaseRepresentation
bin1000110010100001001…
…1101110110101010000
3112102202110100200212122
42030220103232311100
54433222012212220
6153211332313412
713623631545656
oct2145023566520
9472673320778
10151000116560
11590476a1567
1225321772868
131131582a6c7
14744652cdd6
153ddb7d5425
hex23284eed50

151000116560 has 40 divisors (see below), whose sum is σ = 351427588296. Its totient is φ = 60339432960.

The previous prime is 151000116517. The next prime is 151000116563. The reversal of 151000116560 is 65611000151.

It can be written as a sum of positive squares in 4 ways, for example, as 77063980816 + 73936135744 = 277604^2 + 271912^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1510001165602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151000116563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866831 + ... + 1026350.

Almost surely, 2151000116560 is an apocalyptic number.

151000116560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151000116560 is an abundant number, since it is smaller than the sum of its proper divisors (200427471736).

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

151000116560 is a wasteful number, since it uses less digits than its factorization.

151000116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894191 (or 1894185 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 151000116560 in words is "one hundred fifty-one billion, one hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 997 1994 3988 4985 7976 9970 15952 19940 39880 79760 1893181 3786362 7572724 9465905 15145448 18931810 30290896 37863620 75727240 151454480 1887501457 3775002914 7550005828 9437507285 15100011656 18875014570 30200023312 37750029140 75500058280 151000116560