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9973070352 = 243372471139
BaseRepresentation
bin10010100100111000…
…01111101000010000
3221202001002110121000
421102130033220100
5130411101222402
64325341302000
7502066461600
oct112234175020
927661073530
109973070352
1142585a1403
121b23b64900
13c2c24bb7b
146a8752c00
153d583dc1c
hex25270fa10

9973070352 has 120 divisors (see below), whose sum is σ = 33300175200. Its totient is φ = 2849442624.

The previous prime is 9973070321. The next prime is 9973070441. The reversal of 9973070352 is 2530703799.

It is a junction number, because it is equal to n+sod(n) for n = 9973070298 and 9973070307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214402 + ... + 256737.

It is an arithmetic number, because the mean of its divisors is an integer number (277501460).

Almost surely, 29973070352 is an apocalyptic number.

It is an amenable number.

9973070352 is an abundant number, since it is smaller than the sum of its proper divisors (23327104848).

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

9973070352 is a wasteful number, since it uses less digits than its factorization.

9973070352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471170 (or 471151 counting only the distinct ones).

The product of its (nonzero) digits is 357210, while the sum is 45.

The square root of 9973070352 is about 99865.2609869919. The cubic root of 9973070352 is about 2152.4990124921.

The spelling of 9973070352 in words is "nine billion, nine hundred seventy-three million, seventy thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 21168 471139 942278 1413417 1884556 2826834 3297973 3769112 4240251 5653668 6595946 7538224 8480502 9893919 11307336 12720753 13191892 16961004 19787838 22614672 23085811 25441506 26383784 29681757 33922008 39575676 46171622 50883012 52767568 59363514 67844016 69257433 79151352 89045271 92343244 101766024 118727028 138514866 158302704 178090542 184686488 203532048 207772299 237454056 277029732 356181084 369372976 415544598 474908112 554059464 623316897 712362168 831089196 1108118928 1246633794 1424724336 1662178392 2493267588 3324356784 4986535176 9973070352