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97029758016 = 2632129792
BaseRepresentation
bin101101001011101101…
…1001001110001000000
3100021110011121102020100
41122113123021301000
53042204104224031
6112324100242400
710003326222612
oct1322733116100
9307404542210
1097029758016
1138171850364
121697b0a0400
1391c4346cc9
1449a67a2db2
1527cd5c2de6
hex16976c9c40

97029758016 has 63 divisors (see below), whose sum is σ = 278139712071. Its totient is φ = 32340760704.

The previous prime is 97029757999. The next prime is 97029758069. The reversal of 97029758016 is 61085792079.

The square root of 97029758016 is 311496.

It is a perfect power (a square), and thus also a powerful 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 8 ways as a sum of consecutive naturals, for example, 7469415 + ... + 7482393.

Almost surely, 297029758016 is an apocalyptic number.

97029758016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

97029758016 is the 311496-th square number.

It is an amenable number.

97029758016 is an abundant number, since it is smaller than the sum of its proper divisors (181109954055).

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

97029758016 is an frugal number, since it uses more digits than its factorization.

97029758016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25976 (or 12984 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 97029758016 in words is "ninety-seven billion, twenty-nine million, seven hundred fifty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 12979 25958 38937 51916 77874 103832 116811 155748 207664 233622 311496 415328 467244 622992 830656 934488 1245984 1868976 2491968 3737952 7475904 168454441 336908882 505363323 673817764 1010726646 1347635528 1516089969 2021453292 2695271056 3032179938 4042906584 5390542112 6064359876 8085813168 10781084224 12128719752 16171626336 24257439504 32343252672 48514879008 97029758016