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2072473246431 = 327149220781213
BaseRepresentation
bin11110001010001001000…
…010000001101011011111
321100010102020001020010100
4132022021002001223133
5232423411122341211
64224025302112143
7302505550635510
oct36121102015337
97303366036110
102072473246431
11729a27133575
122957ab11b653
13120583201a43
1472445b50a07
1538d9a7d2156
hex1e289081adf

2072473246431 has 24 divisors (see below), whose sum is σ = 3444186938400. Its totient is φ = 1176322297536.

The previous prime is 2072473246423. The next prime is 2072473246451. The reversal of 2072473246431 is 1346423742702.

2072473246431 is a `hidden beast` number, since 2 + 0 + 72 + 473 + 24 + 64 + 31 = 666.

It is not a de Polignac number, because 2072473246431 - 23 = 2072473246423 is a prime.

It is a super-2 number, since 2×20724732464312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072473246411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 110381220 + ... + 110399993.

It is an arithmetic number, because the mean of its divisors is an integer number (143507789100).

Almost surely, 22072473246431 is an apocalyptic number.

2072473246431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2072473246431 is a deficient number, since it is larger than the sum of its proper divisors (1371713691969).

2072473246431 is a wasteful number, since it uses less digits than its factorization.

2072473246431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220781375 (or 220781372 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 2072473246431 in words is "two trillion, seventy-two billion, four hundred seventy-three million, two hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 149 447 1043 1341 3129 9387 220781213 662343639 1545468491 1987030917 4636405473 13909216419 32896400737 98689202211 230274805159 296067606633 690824415477 2072473246431