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97135399424 = 29727797843
BaseRepresentation
bin101101001110110111…
…0001001001000000000
3100021201112101120000002
41122131232021020000
53042413130240144
6112342352415132
710006051162220
oct1323556111000
9307645346002
1097135399424
1138216445308
12169aa5474a8
1392101b450b
1449b6822080
1527d79de14e
hex169db89200

97135399424 has 80 divisors (see below), whose sum is σ = 222609972288. Its totient is φ = 41478746112.

The previous prime is 97135399423. The next prime is 97135399429. The reversal of 97135399424 is 42499353179.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 97135399424.

It is not an unprimeable number, because it can be changed into a prime (97135399421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943847 + ... + 1041689.

Almost surely, 297135399424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97135399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111304986144).

97135399424 is an abundant number, since it is smaller than the sum of its proper divisors (125474572864).

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

97135399424 is an equidigital number, since it uses as much as digits as its factorization.

97135399424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98145 (or 98129 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 56.

The spelling of 97135399424 in words is "ninety-seven billion, one hundred thirty-five million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 277 448 512 554 896 1108 1792 1939 2216 3584 3878 4432 7756 8864 15512 17728 31024 35456 62048 70912 97843 124096 141824 195686 248192 391372 496384 684901 782744 992768 1369802 1565488 2739604 3130976 5479208 6261952 10958416 12523904 21916832 25047808 27102511 43833664 50095616 54205022 87667328 108410044 175334656 189717577 216820088 350669312 379435154 433640176 758870308 867280352 1517740616 1734560704 3035481232 3469121408 6070962464 6938242816 12141924928 13876485632 24283849856 48567699712 97135399424