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149416911360 = 29335171011259
BaseRepresentation
bin1000101100100111110…
…0010010001000000000
3112021200010021112122000
42023021330102020000
54422001212130420
6152350254544000
713536455535243
oct2131174221000
9467603245560
10149416911360
1158404a51012
1224b5b508000
13111228251b2
14733616b25a
153d47802690
hex22c9f12200

149416911360 has 640 divisors, whose sum is σ = 567976147200. Its totient is φ = 37099929600.

The previous prime is 149416911307. The next prime is 149416911361. The reversal of 149416911360 is 63119614941.

149416911360 is a `hidden beast` number, since 1 + 494 + 1 + 6 + 91 + 13 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (149416911361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118678411 + ... + 118679669.

It is an arithmetic number, because the mean of its divisors is an integer number (887462730).

Almost surely, 2149416911360 is an apocalyptic number.

149416911360 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 149416911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283988073600).

149416911360 is an abundant number, since it is smaller than the sum of its proper divisors (418559235840).

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

149416911360 is a wasteful number, since it uses less digits than its factorization.

149416911360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

It can be divided in two parts, 1494169 and 11360, that added together give a square (1505529 = 12272).

The spelling of 149416911360 in words is "one hundred forty-nine billion, four hundred sixteen million, nine hundred eleven thousand, three hundred sixty".