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97098153438 = 231121331331871
BaseRepresentation
bin101101001101110000…
…0000011110111011110
3100021121221022021010010
41122123200003313132
53042324111402223
6112334542224050
710005116454306
oct1323340036736
9307557267103
1097098153438
11381a7415900
1216999b85026
139205573380
1449b18c8606
1527d45d3393
hex169b803dde

97098153438 has 96 divisors (see below), whose sum is σ = 237291134976. Its totient is φ = 26284104000.

The previous prime is 97098153437. The next prime is 97098153487. The reversal of 97098153438 is 83435189079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97098153431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126643 + ... + 458513.

It is an arithmetic number, because the mean of its divisors is an integer number (2471782656).

Almost surely, 297098153438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97098153438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118645567488).

97098153438 is an abundant number, since it is smaller than the sum of its proper divisors (140192981538).

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

97098153438 is a wasteful number, since it uses less digits than its factorization.

97098153438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331942 (or 331931 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 97098153438 in words is "ninety-seven billion, ninety-eight million, one hundred fifty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 121 143 186 242 286 341 363 403 429 682 726 806 858 1023 1209 1573 2046 2418 3146 3751 4433 4719 7502 8866 9438 11253 13299 22506 26598 48763 97526 146289 292578 331871 663742 995613 1991226 3650581 4314323 7301162 8628646 10288001 10951743 12942969 20576002 21903486 25885938 30864003 40156391 47457553 61728006 80312782 94915106 113168011 120469173 133744013 142372659 226336022 240938346 267488026 284745318 339504033 401232039 522033083 679008066 802464078 1044066166 1244848121 1471184143 1566099249 2489696242 2942368286 3132198498 3734544363 4413552429 7469088726 8827104858 16183025573 32366051146 48549076719 97098153438