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9973768960 = 28553791861
BaseRepresentation
bin10010100100111101…
…11010001100000000
3221202002101221220101
421102132322030000
5130411241101320
64325404252144
7502105431421
oct112236721400
927662357811
109973768960
114258a29271
121b24241054
13c2c434b4c
146a8895648
153d592ac0a
hex2527ba300

9973768960 has 144 divisors (see below), whose sum is σ = 24662413440. Its totient is φ = 3862609920.

The previous prime is 9973768957. The next prime is 9973768963. The reversal of 9973768960 is 698673799.

9973768960 = T81541 + T81542 + T81543.

It is an interprime number because it is at equal distance from previous prime (9973768957) and next prime (9973768963).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 9973768892 and 9973768901.

It is not an unprimeable number, because it can be changed into a prime (9973768963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5358430 + ... + 5360290.

It is an arithmetic number, because the mean of its divisors is an integer number (171266760).

Almost surely, 29973768960 is an apocalyptic number.

9973768960 is the 81543-rd centered triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9973768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331206720).

9973768960 is an abundant number, since it is smaller than the sum of its proper divisors (14688644480).

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

9973768960 is a wasteful number, since it uses less digits than its factorization.

9973768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 64.

The square root of 9973768960 is about 99868.7586785778. The cubic root of 9973768960 is about 2152.5492717692.

The spelling of 9973768960 in words is "nine billion, nine hundred seventy-three million, seven hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 79 80 106 128 158 160 212 256 265 316 320 395 424 530 632 640 790 848 1060 1264 1280 1580 1696 1861 2120 2528 3160 3392 3722 4187 4240 5056 6320 6784 7444 8374 8480 9305 10112 12640 13568 14888 16748 16960 18610 20224 20935 25280 29776 33496 33920 37220 41870 50560 59552 66992 67840 74440 83740 98633 101120 119104 133984 147019 148880 167480 197266 238208 267968 294038 297760 334960 394532 476416 493165 535936 588076 595520 669920 735095 789064 986330 1071872 1176152 1191040 1339840 1470190 1578128 1972660 2352304 2382080 2679680 2940380 3156256 3945320 4704608 5359360 5880760 6312512 7792007 7890640 9409216 11761520 12625024 15584014 15781280 18818432 23523040 25250048 31168028 31562560 37636864 38960035 47046080 62336056 63125120 77920070 94092160 124672112 126250240 155840140 188184320 249344224 311680280 498688448 623360560 997376896 1246721120 1994753792 2493442240 4986884480 9973768960