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2007276902656 = 2873212132
BaseRepresentation
bin11101001101011011000…
…001101101100100000000
321002220010120121210210021
4131031123001231210000
5230341400341341111
64134044050143224
7265010123104504
oct35153301554400
97086116553707
102007276902656
11704310533523
12285034b81b14
1311739303bc2c
146d21d0ca304
1537331c91d71
hex1d35b06d900

2007276902656 has 81 divisors (see below), whose sum is σ = 4065702999939. Its totient is φ = 989073911808.

The previous prime is 2007276902627. The next prime is 2007276902681. The reversal of 2007276902656 is 6562096727002.

The square root of 2007276902656 is 1416784.

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

It can be written as a sum of positive squares in 4 ways, for example, as 485507942656 + 1521768960000 = 696784^2 + 1233600^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1654803106 + ... + 1654804318.

Almost surely, 22007276902656 is an apocalyptic number.

2007276902656 is the 1416784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2007276902656

2007276902656 is an abundant number, since it is smaller than the sum of its proper divisors (2058426097283).

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

2007276902656 is an frugal number, since it uses more digits than its factorization.

2007276902656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 2007276902656 in words is "two trillion, seven billion, two hundred seventy-six million, nine hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 584 1168 1213 2336 2426 4672 4852 5329 9344 9704 10658 18688 19408 21316 38816 42632 77632 85264 88549 155264 170528 177098 310528 341056 354196 682112 708392 1364224 1416784 1471369 2833568 2942738 5667136 5885476 6464077 11334272 11770952 12928154 22668544 23541904 25856308 47083808 51712616 94167616 103425232 107409937 188335232 206850464 214819874 376670464 413700928 429639748 827401856 859279496 1654803712 1718558992 3437117984 6874235968 7840925401 13748471936 15681850802 27496943872 31363701604 62727403208 125454806416 250909612832 501819225664 1003638451328 2007276902656