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9973002740 = 2251722776229
BaseRepresentation
bin10010100100110111…
…11111000111110100
3221202000222000211212
421102123333013310
5130411042041430
64325340020552
7502066060511
oct112233770764
927660860755
109973002740
114258555628
121b23b31758
13c2c22716c
146a8736308
153d5828b95
hex2526ff1f4

9973002740 has 72 divisors (see below), whose sum is σ = 22331634360. Its totient is φ = 3740387328.

The previous prime is 9973002737. The next prime is 9973002749. The reversal of 9973002740 is 472003799.

It can be written as a sum of positive squares in 12 ways, for example, as 1134746596 + 8838256144 = 33686^2 + 94012^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9973002749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1597946 + ... + 1604174.

Almost surely, 29973002740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9973002740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11165817180).

9973002740 is an abundant number, since it is smaller than the sum of its proper divisors (12358631620).

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

9973002740 is a wasteful number, since it uses less digits than its factorization.

9973002740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6549 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 41.

The square root of 9973002740 is about 99864.9224703049. The cubic root of 9973002740 is about 2152.4941482231.

The spelling of 9973002740 in words is "nine billion, nine hundred seventy-three million, two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 277 289 340 554 578 1108 1156 1385 1445 2770 2890 4709 5540 5780 6229 9418 12458 18836 23545 24916 31145 47090 62290 80053 94180 105893 124580 160106 211786 320212 400265 423572 529465 800530 1058930 1601060 1725433 1800181 2117860 3450866 3600362 6901732 7200724 8627165 9000905 17254330 18001810 29332361 34508660 36003620 58664722 117329444 146661805 293323610 498650137 586647220 997300274 1994600548 2493250685 4986501370 9973002740