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151460399728 = 241126317471873
BaseRepresentation
bin1000110100001110111…
…1100100101001110000
3112110221112110111200101
42031003233210221300
54440142330242403
6153325134002144
713641221104261
oct2150357445160
9473845414611
10151460399728
11592634a1080
122542b946354
1311389cb7b01
14748b706968
153e16e0571d
hex2343be4a70

151460399728 has 80 divisors (see below), whose sum is σ = 321705052416. Its totient is φ = 68508011520.

The previous prime is 151460399683. The next prime is 151460399801. The reversal of 151460399728 is 827993064151.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80864200 + ... + 80866072.

It is a 1-persistent number, because it is pandigital, but 2⋅151460399728 = 302920799456 is not.

Almost surely, 2151460399728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151460399728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160852526208).

151460399728 is an abundant number, since it is smaller than the sum of its proper divisors (170244652688).

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

151460399728 is a wasteful number, since it uses less digits than its factorization.

151460399728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3902 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 151460399728 in words is "one hundred fifty-one billion, four hundred sixty million, three hundred ninety-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 263 526 1052 1747 1873 2104 2893 3494 3746 4208 5786 6988 7492 11572 13976 14984 19217 20603 23144 27952 29968 38434 41206 46288 76868 82412 153736 164824 307472 329648 459461 492599 918922 985198 1837844 1970396 3272131 3675688 3940792 5054071 5418589 6544262 7351376 7881584 10108142 10837178 13088524 20216284 21674356 26177048 35993441 40432568 43348712 52354096 71986882 80865136 86697424 143973764 287947528 575895056 860570453 1721140906 3442281812 6884563624 9466274983 13769127248 18932549966 37865099932 75730199864 151460399728