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2725216640 = 27523185137
BaseRepresentation
bin1010001001101111…
…1000000110000000
321000220222100102122
42202123320012000
521040123413030
61130230503412
7124350650006
oct24233700600
97026870378
102725216640
11117934a663
12640804b68
133457a5433
141bbd18a76
1510e3b68e5
hexa26f8180

2725216640 has 64 divisors (see below), whose sum is σ = 6798267360. Its totient is φ = 1042685952.

The previous prime is 2725216621. The next prime is 2725216661. The reversal of 2725216640 is 466125272.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2725216640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77849 + ... + 107288.

Almost surely, 22725216640 is an apocalyptic number.

2725216640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2725216640 is an abundant number, since it is smaller than the sum of its proper divisors (4073050720).

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

2725216640 is a wasteful number, since it uses less digits than its factorization.

2725216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185179 (or 185167 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 2725216640 is about 52203.6075381769. The cubic root of 2725216640 is about 1396.7982342425.

The spelling of 2725216640 in words is "two billion, seven hundred twenty-five million, two hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3680 7360 14720 185137 370274 740548 925685 1481096 1851370 2962192 3702740 4258151 5924384 7405480 8516302 11848768 14810960 17032604 21290755 23697536 29621920 34065208 42581510 59243840 68130416 85163020 118487680 136260832 170326040 272521664 340652080 545043328 681304160 1362608320 2725216640