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10297378576 = 2423211032
BaseRepresentation
bin10011001011100010…
…11000011100010000
3222120122100000211201
421211301120130100
5132042112103301
64421444320544
7513115162612
oct114561303420
928518300751
1010297378576
114404668a31
121bb46a3154
13c814ab024
146d9852db2
15404050201
hex265c58710

10297378576 has 45 divisors (see below), whose sum is σ = 20875253959. Its totient is φ = 4920368288.

The previous prime is 10297378541. The next prime is 10297378631. The reversal of 10297378576 is 67587379201.

It is a happy number.

The square root of 10297378576 is 101476.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9335241 + ... + 9336343.

Almost surely, 210297378576 is an apocalyptic number.

10297378576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10297378576 is the 101476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10297378576

10297378576 is an abundant number, since it is smaller than the sum of its proper divisors (10577875383).

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

10297378576 is an frugal number, since it uses more digits than its factorization.

10297378576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 10297378576 in words is "ten billion, two hundred ninety-seven million, three hundred seventy-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 23 46 92 184 368 529 1058 1103 2116 2206 4232 4412 8464 8824 17648 25369 50738 101476 202952 405904 583487 1166974 1216609 2333948 2433218 4667896 4866436 9335792 9732872 19465744 27982007 55964014 111928028 223856056 447712112 643586161 1287172322 2574344644 5148689288 10297378576