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901742049672 = 23361210097443
BaseRepresentation
bin11010001111101000000…
…00111011100110001000
310012012112221202101010120
431013310000323212020
5104233231431042142
61530130553343240
7122102002645362
oct15076400734610
93165487671116
10901742049672
11318476973572
1212691b707b20
1367059669129
14319048d5d32
15186ca4397ec
hexd1f403b988

901742049672 has 48 divisors (see below), whose sum is σ = 2291917839120. Its totient is φ = 295653101760.

The previous prime is 901742049671. The next prime is 901742049683. The reversal of 901742049672 is 276940247109.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (901742049671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4959418 + ... + 5138025.

It is an arithmetic number, because the mean of its divisors is an integer number (47748288315).

Almost surely, 2901742049672 is an apocalyptic number.

It is an amenable number.

901742049672 is an abundant number, since it is smaller than the sum of its proper divisors (1390175789448).

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

901742049672 is a wasteful number, since it uses less digits than its factorization.

901742049672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097574 (or 10097509 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 901742049672 in words is "nine hundred one billion, seven hundred forty-two million, forty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 3721 7442 11163 14884 22326 29768 44652 89304 10097443 20194886 30292329 40389772 60584658 80779544 121169316 242338632 615944023 1231888046 1847832069 2463776092 3695664138 4927552184 7391328276 14782656552 37572585403 75145170806 112717756209 150290341612 225435512418 300580683224 450871024836 901742049672