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152621317000 = 2353152621317
BaseRepresentation
bin1000111000100011110…
…0000111101110001000
3112120221102221012210101
42032020330013232020
510000032024121000
6154040244255144
714012045534605
oct2161074075610
9476842835711
10152621317000
11597a9833439
12256b46a14b4
13115136770c9
14755b9816ac
153e83cc0e6a
hex2388f07b88

152621317000 has 32 divisors (see below), whose sum is σ = 357133884120. Its totient is φ = 61048526400.

The previous prime is 152621316973. The next prime is 152621317007. The reversal of 152621317000 is 713126251.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 103160446596 + 49460870404 = 321186^2 + 222398^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152621317000.

It is not an unprimeable number, because it can be changed into a prime (152621317007) 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, 76309659 + ... + 76311658.

Almost surely, 2152621317000 is an apocalyptic number.

152621317000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152621317000 is an abundant number, since it is smaller than the sum of its proper divisors (204512567120).

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

152621317000 is a wasteful number, since it uses less digits than its factorization.

152621317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152621338 (or 152621324 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The spelling of 152621317000 in words is "one hundred fifty-two billion, six hundred twenty-one million, three hundred seventeen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 152621317 305242634 610485268 763106585 1220970536 1526213170 3052426340 3815532925 6104852680 7631065850 15262131700 19077664625 30524263400 38155329250 76310658500 152621317000