Search a number
-
+
97844462756496 = 2432193242712
BaseRepresentation
bin10110001111110100110000…
…011100100010001010010000
3110211102211122211201001100100
4112033310300130202022100
5100311040424431201441
6544033043050452400
726416012666653651
oct2617646034421220
9424384584631310
1097844462756496
11291a3670476245
12ab82ab4734100
1342799020ab7a1
141a239a9421528
15b4a25ba37cb6
hex58fd30722290

97844462756496 has 135 divisors (see below), whose sum is σ = 275319215439177. Its totient is φ = 32438235432960.

The previous prime is 97844462756387. The next prime is 97844462756503. The reversal of 97844462756496 is 69465726444879.

The square root of 97844462756496 is 9891636.

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

97844462756496 is a `hidden beast` number, since 9 + 7 + 8 + 4 + 4 + 46 + 2 + 7 + 564 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23706576723600 + 74137886032896 = 4868940^2 + 8610336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22909026841 + ... + 22909031111.

Almost surely, 297844462756496 is an apocalyptic number.

97844462756496 is the 9891636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97844462756496

97844462756496 is an abundant number, since it is smaller than the sum of its proper divisors (177474752682681).

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

97844462756496 is an frugal number, since it uses more digits than its factorization.

97844462756496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8942 (or 4469 counting only the distinct ones).

The product of its digits is 17557585920, while the sum is 81.

The spelling of 97844462756496 in words is "ninety-seven trillion, eight hundred forty-four billion, four hundred sixty-two million, seven hundred fifty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4271 4632 6948 8542 9264 12813 13896 17084 25626 27792 34168 37249 38439 51252 68336 74498 76878 102504 111747 148996 153756 205008 223494 297992 307512 335241 446988 595984 615024 670482 824303 893976 1340964 1648606 1787952 2472909 2681928 3297212 4945818 5363856 6594424 7418727 9891636 13188848 14837454 18241441 19783272 29674908 36482882 39566544 54724323 59349816 72965764 109448646 118699632 145931528 159090479 164172969 218897292 291863056 318180958 328345938 437794584 477271437 636361916 656691876 875589168 954542874 1272723832 1313383752 1431814311 1909085748 2545447664 2626767504 2863628622 3520598113 3818171496 5727257244 7041196226 7636342992 10561794339 11454514488 14082392452 21123588678 22909028976 28164784904 31685383017 42247177356 56329569808 63370766034 84494354712 126741532068 168988709424 253483064136 506966128272 679475435809 1358950871618 2038426307427 2717901743236 4076852614854 5435803486472 6115278922281 8153705229708 10871606972944 12230557844562 16307410459416 24461115689124 32614820918832 48922231378248 97844462756496