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96997364428176 = 2432191242972
BaseRepresentation
bin10110000011011111110101…
…011100110110110110010000
3110201102212011002202022222100
4112003133311130312312100
5100203201100243200201
6542143550221440400
726300554053661242
oct2603376534666620
9421385132668870
1096997364428176
11289a739555a373
12aa668a5110100
134217a73599cb4
1419d49a9c98092
15b331cd9c0886
hex5837f5736d90

96997364428176 has 135 divisors (see below), whose sum is σ = 272950109556033. Its totient is φ = 32155689911040.

The previous prime is 96997364428171. The next prime is 96997364428183. The reversal of 96997364428176 is 67182446379969.

The square root of 96997364428176 is 9848724.

It is a perfect power (a square), and thus also a powerful number.

96997364428176 is a `hidden beast` number, since 9 + 6 + 9 + 97 + 3 + 6 + 442 + 81 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51960165555600 + 45037198872576 = 7208340^2 + 6710976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 96997364428095 and 96997364428104.

It is not an unprimeable number, because it can be changed into a prime (96997364428171) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22573273260 + ... + 22573277556.

Almost surely, 296997364428176 is an apocalyptic number.

96997364428176 is the 9848724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96997364428176

96997364428176 is an abundant number, since it is smaller than the sum of its proper divisors (175952745127857).

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

96997364428176 is an frugal number, since it uses more digits than its factorization.

96997364428176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 4493 counting only the distinct ones).

The product of its digits is 5925685248, while the sum is 81.

The spelling of 96997364428176 in words is "ninety-six trillion, nine hundred ninety-seven billion, three hundred sixty-four million, four hundred twenty-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1719 2292 3056 3438 4297 4584 6876 8594 9168 12891 13752 17188 25782 27504 34376 36481 38673 51564 68752 72962 77346 103128 109443 145924 154692 206256 218886 291848 309384 328329 437772 583696 618768 656658 820727 875544 1313316 1641454 1751088 2462181 2626632 3282908 4924362 5253264 6565816 7386543 9848724 13131632 14773086 18464209 19697448 29546172 36928418 39394896 55392627 59092344 73856836 110785254 118184688 147713672 156758857 166177881 221570508 295427344 313517714 332355762 443141016 470276571 627035428 664711524 886282032 940553142 1254070856 1329423048 1410829713 1881106284 2508141712 2658846096 2821659426 3526663919 3762212568 5643318852 7053327838 7524425136 10579991757 11286637704 14106655676 21159983514 22573275408 28213311352 31739975271 42319967028 56426622704 63479950542 84639934056 126959901084 169279868112 253919802168 507839604336 673592808529 1347185617058 2020778425587 2694371234116 4041556851174 5388742468232 6062335276761 8083113702348 10777484936464 12124670553522 16166227404696 24249341107044 32332454809392 48498682214088 96997364428176