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149492259600 = 24352283479919
BaseRepresentation
bin1000101100111001101…
…1101101101100010000
3112021212101001121222120
42023032123231230100
54422130004301400
6152401545534240
713541362145355
oct2131633555420
9467771047876
10149492259600
1158443535292
1224b807a4380
1311135317158
14734218262c
153d4e237ca0
hex22ce6edb10

149492259600 has 240 divisors, whose sum is σ = 482092953600. Its totient is φ = 39597672960.

The previous prime is 149492259599. The next prime is 149492259607. The reversal of 149492259600 is 6952294941.

149492259600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (149492259607) 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 47 ways as a sum of consecutive naturals, for example, 162667941 + ... + 162668859.

It is an arithmetic number, because the mean of its divisors is an integer number (2008720640).

Almost surely, 2149492259600 is an apocalyptic number.

149492259600 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 149492259600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241046476800).

149492259600 is an abundant number, since it is smaller than the sum of its proper divisors (332600694000).

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

149492259600 is a wasteful number, since it uses less digits than its factorization.

149492259600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 149492259600 in words is "one hundred forty-nine billion, four hundred ninety-two million, two hundred fifty-nine thousand, six hundred".