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14992586476032 = 29311127157191233
BaseRepresentation
bin1101101000101011101111…
…0010101000101000000000
31222002021111010111100012210
43122022323302220220000
53431114304114213112
651515255452022120
73105115161241104
oct332127362505000
958067433440183
1014992586476032
114860358234270
1218217b6a61940
13849a4434b6c9
1439b906073904
151aeed18b4b3c
hexda2bbca8a00

14992586476032 has 640 divisors, whose sum is σ = 44617066610688. Its totient is φ = 4436154777600.

The previous prime is 14992586475949. The next prime is 14992586476111. The reversal of 14992586476032 is 23067468529941.

It is a super-2 number, since 2×149925864760322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 64345864588 + ... + 64345864820.

It is a 1-persistent number, because it is pandigital, but 2⋅14992586476032 = 29985172952064 is not.

Almost surely, 214992586476032 is an apocalyptic number.

14992586476032 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 14992586476032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22308533305344).

14992586476032 is an abundant number, since it is smaller than the sum of its proper divisors (29624480134656).

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

14992586476032 is a wasteful number, since it uses less digits than its factorization.

14992586476032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 14992586476032 in words is "fourteen trillion, nine hundred ninety-two billion, five hundred eighty-six million, four hundred seventy-six thousand, thirty-two".