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151050383064 = 23347714631013
BaseRepresentation
bin1000110010101101001…
…1011110111011011000
3112102212221221111120000
42030223103132323120
54433322344224224
6153220325533000
713625112033360
oct2145323367330
9472787844500
10151050383064
1159073004529
1225336574160
131132307a1b9
14744d0959a0
153de0e140c9
hex232b4deed8

151050383064 has 320 divisors, whose sum is σ = 491875338240. Its totient is φ = 42415591680.

The previous prime is 151050383053. The next prime is 151050383083. The reversal of 151050383064 is 460383050151.

151050383064 is a `hidden beast` number, since 1 + 5 + 10 + 503 + 83 + 0 + 64 = 666.

It is a super-2 number, since 2×1510503830642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149111422 + ... + 149112434.

It is an arithmetic number, because the mean of its divisors is an integer number (1537110432).

Almost surely, 2151050383064 is an apocalyptic number.

151050383064 is a gapful number since it is divisible by the number (14) 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 151050383064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245937669120).

151050383064 is an abundant number, since it is smaller than the sum of its proper divisors (340824955176).

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

151050383064 is a wasteful number, since it uses less digits than its factorization.

151050383064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1572 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 151050383064 in words is "one hundred fifty-one billion, fifty million, three hundred eighty-three thousand, sixty-four".