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1400167664 = 24712501497
BaseRepresentation
bin101001101110100…
…1101110011110000
310121120122212221122
41103131031303300
510331420331124
6350534241412
746461141320
oct12335156360
93546585848
101400167664
116593a3765
12330ab6268
13194109b9c
14d3d57280
1582dc975e
hex5374dcf0

1400167664 has 20 divisors (see below), whose sum is σ = 3100371504. Its totient is φ = 600071808.

The previous prime is 1400167661. The next prime is 1400167679. The reversal of 1400167664 is 4667610041.

It is a super-2 number, since 2×14001676642 = 3920938974622433792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400167661) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6250637 + ... + 6250860.

Almost surely, 21400167664 is an apocalyptic number.

1400167664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1400167664 is an abundant number, since it is smaller than the sum of its proper divisors (1700203840).

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

1400167664 is a wasteful number, since it uses less digits than its factorization.

1400167664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12501512 (or 12501506 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 1400167664 is about 37418.8143051059. The cubic root of 1400167664 is about 1118.7335983613.

The spelling of 1400167664 in words is "one billion, four hundred million, one hundred sixty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 12501497 25002994 50005988 87510479 100011976 175020958 200023952 350041916 700083832 1400167664