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902881940401 = 721357432
BaseRepresentation
bin11010010001101111111…
…01010001001110110001
310012022111101122211020201
431020313331101032301
5104243100234043101
61530440033235201
7122142153603100
oct15106775211661
93168441584221
10902881940401
11318a01354321
12126b99402b01
13671ab87599c
14319b205a037
151874554ee01
hexd237f513b1

902881940401 has 9 divisors (see below), whose sum is σ = 1050298974201. Its totient is φ = 773893104852.

The previous prime is 902881940369. The next prime is 902881940423. The reversal of 902881940401 is 104049188209.

The square root of 902881940401 is 950201.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 902881940401 - 25 = 902881940369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (902881940501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6583536 + ... + 6719278.

Almost surely, 2902881940401 is an apocalyptic number.

902881940401 is the 950201-st square number.

902881940401 is the 475101-st centered octagonal number.

It is an amenable number.

902881940401 is a deficient number, since it is larger than the sum of its proper divisors (147417033800).

902881940401 is an frugal number, since it uses more digits than its factorization.

902881940401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271500 (or 135750 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 902881940401 in words is "nine hundred two billion, eight hundred eighty-one million, nine hundred forty thousand, four hundred one".

Divisors: 1 7 49 135743 950201 6651407 18426162049 128983134343 902881940401