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97027861248 = 2832311358477
BaseRepresentation
bin101101001011101001…
…1111010101100000000
3100021110001001001100200
41122113103322230000
53042203113024443
6112323551445200
710003304132643
oct1322723725400
9307401031320
1097027861248
113817077528a
121697a526800
1391c3b31866
1449a642ba5a
1527cd34add3
hex16974fab00

97027861248 has 108 divisors (see below), whose sum is σ = 288779819328. Its totient is φ = 31299287040.

The previous prime is 97027861247. The next prime is 97027861253. The reversal of 97027861248 is 84216872079.

It is a happy number.

97027861248 is a `hidden beast` number, since 9 + 70 + 278 + 61 + 248 = 666.

It is a super-2 number, since 2×970278612482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 97027861194 and 97027861203.

It is not an unprimeable number, because it can be changed into a prime (97027861247) 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, 607815 + ... + 750662.

It is an arithmetic number, because the mean of its divisors is an integer number (2673887216).

Almost surely, 297027861248 is an apocalyptic number.

It is an amenable number.

97027861248 is an abundant number, since it is smaller than the sum of its proper divisors (191751958080).

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

97027861248 is a wasteful number, since it uses less digits than its factorization.

97027861248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358530 (or 1358513 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 97027861248 in words is "ninety-seven billion, twenty-seven million, eight hundred sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 558 576 744 768 992 1116 1152 1488 1984 2232 2304 2976 3968 4464 5952 7936 8928 11904 17856 23808 35712 71424 1358477 2716954 4075431 5433908 8150862 10867816 12226293 16301724 21735632 24452586 32603448 42112787 43471264 48905172 65206896 84225574 86942528 97810344 126338361 130413792 168451148 173885056 195620688 252676722 260827584 336902296 347770112 379015083 391241376 505353444 521655168 673804592 758030166 782482752 1010706888 1043310336 1347609184 1516060332 1564965504 2021413776 2695218368 3032120664 3129931008 4042827552 5390436736 6064241328 8085655104 10780873472 12128482656 16171310208 24256965312 32342620416 48513930624 97027861248