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151245252000 = 2533535326423
BaseRepresentation
bin1000110011011011101…
…0110110010110100000
3112110101112121212111000
42030312322312112200
54434222241031000
6153251530352000
713632666300363
oct2146672662640
9473345555430
10151245252000
1159163002437
122538b88b600
1311354558b6b
14746ad000da
153e030a8000
hex2336eb65a0

151245252000 has 384 divisors, whose sum is σ = 560941355520. Its totient is φ = 39569587200.

The previous prime is 151245251977. The next prime is 151245252001. The reversal of 151245252000 is 252542151.

151245252000 is a `hidden beast` number, since 1 + 5 + 1 + 2 + 452 + 5 + 200 + 0 = 666.

151245252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (151245252001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5710789 + ... + 5737211.

It is an arithmetic number, because the mean of its divisors is an integer number (1460784780).

Almost surely, 2151245252000 is an apocalyptic number.

151245252000 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 151245252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280470677760).

151245252000 is an abundant number, since it is smaller than the sum of its proper divisors (409696103520).

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

151245252000 is a wasteful number, since it uses less digits than its factorization.

151245252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26510 (or 26486 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 151245252000 its reverse (252542151), we get a palindrome (151497794151).

The spelling of 151245252000 in words is "one hundred fifty-one billion, two hundred forty-five million, two hundred fifty-two thousand".