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9973217956 = 221322321672
BaseRepresentation
bin10010100100111001…
…10011101010100100
3221202001100222001211
421102130303222210
5130411120433311
64325344401204
7502100645122
oct112234635244
927661328054
109973217956
114258692299
121b24016204
13c2c2a1100
146a8790912
153d586c821
hex252733aa4

9973217956 has 81 divisors (see below), whose sum is σ = 19875382401. Its totient is φ = 4376527584.

The previous prime is 9973217953. The next prime is 9973217959. The reversal of 9973217956 is 6597123799.

The square root of 9973217956 is 99866.

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

It is an interprime number because it is at equal distance from previous prime (9973217953) and next prime (9973217959).

It can be written as a sum of positive squares in only one way, i.e., 1475328100 + 8497889856 = 38410^2 + 92184^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9973217956.

It is not an unprimeable number, because it can be changed into a prime (9973217953) 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, 59719785 + ... + 59719951.

Almost surely, 29973217956 is an apocalyptic number.

9973217956 is the 99866-th square number.

It is an amenable number.

9973217956 is a deficient number, since it is larger than the sum of its proper divisors (9902164445).

9973217956 is a wasteful number, since it uses less digits than its factorization.

9973217956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its digits is 6429780, while the sum is 58.

The cubic root of 9973217956 is about 2152.5096316189.

The spelling of 9973217956 in words is "nine billion, nine hundred seventy-three million, two hundred seventeen thousand, nine hundred fifty-six".

Divisors: 1 2 4 13 23 26 46 52 92 167 169 299 334 338 529 598 668 676 1058 1196 2116 2171 3841 3887 4342 6877 7682 7774 8684 13754 15364 15548 27508 27889 28223 49933 55778 56446 88343 89401 99866 111556 112892 176686 178802 199732 353372 357604 362557 641447 649129 725114 1148459 1282894 1298258 1450228 2296918 2565788 2596516 4593836 4713241 8338811 9426482 14753281 14929967 16677622 18852964 29506562 29859934 33355244 59013124 59719868 108404543 191792653 216809086 383585306 433618172 767170612 2493304489 4986608978 9973217956