Search a number
-
+
104225329152 = 2123373143101
BaseRepresentation
bin110000100010001010…
…0000101000000000000
3100222000122100022012000
41201010110011000000
53201423141013102
6115514102304000
710346541452250
oct1410424050000
9328018308160
10104225329152
114022453246a
1218248a28000
139aa00163c9
14508a2ab960
152aa016e01c
hex1844505000

104225329152 has 832 divisors, whose sum is σ = 376434769920. Its totient is φ = 27869184000.

The previous prime is 104225329123. The next prime is 104225329163. The reversal of 104225329152 is 251923522401.

104225329152 is a `hidden beast` number, since 10 + 4 + 22 + 532 + 91 + 5 + 2 = 666.

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 63 ways as a sum of consecutive naturals, for example, 1031933902 + ... + 1031934002.

Almost surely, 2104225329152 is an apocalyptic number.

104225329152 is a gapful number since it is divisible by the number (12) 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 104225329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188217384960).

104225329152 is an abundant number, since it is smaller than the sum of its proper divisors (272209440768).

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

104225329152 is a wasteful number, since it uses less digits than its factorization.

104225329152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 187 counting only the distinct ones).

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

The spelling of 104225329152 in words is "one hundred four billion, two hundred twenty-five million, three hundred twenty-nine thousand, one hundred fifty-two".