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14916193740 = 22345731151281
BaseRepresentation
bin11011110010001001…
…10000110111001100
31102111112110011010000
431321010300313030
5221022021144430
610504041444300
71035431361210
oct157104606714
942445404100
1014916193740
116364891148
122a834a0690
131539385356
14a1704a940
155c47ace60
hex379130dcc

14916193740 has 480 divisors, whose sum is σ = 55765721088. Its totient is φ = 3265920000.

The previous prime is 14916193711. The next prime is 14916193757. The reversal of 14916193740 is 4739161941.

It is a happy number.

14916193740 is a `hidden beast` number, since 1 + 491 + 6 + 1 + 93 + 74 + 0 = 666.

14916193740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 53082400 + ... + 53082680.

Almost surely, 214916193740 is an apocalyptic number.

14916193740 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 14916193740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27882860544).

14916193740 is an abundant number, since it is smaller than the sum of its proper divisors (40849527348).

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

14916193740 is a wasteful number, since it uses less digits than its factorization.

14916193740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 14916193740 in words is "fourteen billion, nine hundred sixteen million, one hundred ninety-three thousand, seven hundred forty".