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14992230451968 = 2832711210374587
BaseRepresentation
bin1101101000101010011010…
…0100100000101100000000
31222002020120022120110000100
43122022212210200230000
53431113041443430333
651515200253122400
73105103306134060
oct332124644405400
958066508513010
1014992230451968
114860195275100
121821717789400
138499b8666593
1439b8b0a793a0
151aeeb04db213
hexda2a6920b00

14992230451968 has 648 divisors, whose sum is σ = 54828729423104. Its totient is φ = 3856227471360.

The previous prime is 14992230451949. The next prime is 14992230452041. The reversal of 14992230451968 is 86915403229941.

14992230451968 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 22 + 30 + 4 + 519 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 200965971 + ... + 201040557.

Almost surely, 214992230451968 is an apocalyptic number.

14992230451968 is a gapful number since it is divisible by the number (18) 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 14992230451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27414364711552).

14992230451968 is an abundant number, since it is smaller than the sum of its proper divisors (39836498971136).

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

14992230451968 is a wasteful number, since it uses less digits than its factorization.

14992230451968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74741 (or 74713 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 14992230451968 in words is "fourteen trillion, nine hundred ninety-two billion, two hundred thirty million, four hundred fifty-one thousand, nine hundred sixty-eight".