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2927139973440 = 2635176713919259
BaseRepresentation
bin101010100110000111001…
…000110110100101000000
3101100211110102021102200220
4222212013020312211000
5340424240313122230
610120413132143040
7421323154151424
oct52460710664500
911324412242626
102927139973440
11a294362283a1
123b3371307a80
131830499cc257
14a1962512b84
155121cedcd10
hex2a987236940

2927139973440 has 448 divisors, whose sum is σ = 10059599692800. Its totient is φ = 718446034944.

The previous prime is 2927139973411. The next prime is 2927139973451. The reversal of 2927139973440 is 443799317292.

It is a super-2 number, since 2×29271399734402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 151978531 + ... + 151997789.

It is an arithmetic number, because the mean of its divisors is an integer number (22454463600).

Almost surely, 22927139973440 is an apocalyptic number.

2927139973440 is a gapful number since it is divisible by the number (20) 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 2927139973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029799846400).

2927139973440 is an abundant number, since it is smaller than the sum of its proper divisors (7132459719360).

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

2927139973440 is a wasteful number, since it uses less digits than its factorization.

2927139973440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19502 (or 19492 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 2927139973440 in words is "two trillion, nine hundred twenty-seven billion, one hundred thirty-nine million, nine hundred seventy-three thousand, four hundred forty".