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149978256900 = 22352499927523
BaseRepresentation
bin1000101110101101100…
…1101001011000000100
3112100010020112211221120
42023223121221120010
54424123413210100
6152522110313540
713556413102203
oct2135331513004
9470106484846
10149978256900
11586728a824a
12250974b88b0
13111b1c08814
14738a93123a
153d7bc370a0
hex22eb669604

149978256900 has 36 divisors (see below), whose sum is σ = 433937090832. Its totient is φ = 39994201760.

The previous prime is 149978256881. The next prime is 149978256907. The reversal of 149978256900 is 9652879941.

It is a super-2 number, since 2×1499782569002 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (149978256907) 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 11 ways as a sum of consecutive naturals, for example, 249963462 + ... + 249964061.

Almost surely, 2149978256900 is an apocalyptic number.

149978256900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149978256900 is an abundant number, since it is smaller than the sum of its proper divisors (283958833932).

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

149978256900 is a wasteful number, since it uses less digits than its factorization.

149978256900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499927540 (or 499927533 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 149978256900 in words is "one hundred forty-nine billion, nine hundred seventy-eight million, two hundred fifty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 499927523 999855046 1499782569 1999710092 2499637615 2999565138 4999275230 5999130276 7498912845 9998550460 12498188075 14997825690 24996376150 29995651380 37494564225 49992752300 74989128450 149978256900