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151961400000 = 263355107263
BaseRepresentation
bin1000110110000110011…
…0101111001011000000
3112112020110011221212000
42031201212233023000
54442204104300000
6153450552104000
713656513405414
oct2154146571300
9475213157760
10151961400000
11594a0280a93
122554b695000
1311439a30287
1474d807cd44
153e45dba000
hex23619af2c0

151961400000 has 672 divisors, whose sum is σ = 565748789760. Its totient is φ = 39991680000.

The previous prime is 151961399983. The next prime is 151961400007. The reversal of 151961400000 is 4169151.

151961400000 is a `hidden beast` number, since 1 + 519 + 6 + 140 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151961400007) 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 95 ways as a sum of consecutive naturals, for example, 577799869 + ... + 577800131.

It is an arithmetic number, because the mean of its divisors is an integer number (841888080).

Almost surely, 2151961400000 is an apocalyptic number.

151961400000 is a gapful number since it is divisible by the number (10) 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 151961400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282874394880).

151961400000 is an abundant number, since it is smaller than the sum of its proper divisors (413787389760).

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

151961400000 is an equidigital number, since it uses as much as digits as its factorization.

151961400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 151961400000 its reverse (4169151), we get a palindrome (151965569151).

The spelling of 151961400000 in words is "one hundred fifty-one billion, nine hundred sixty-one million, four hundred thousand".