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4015995960025 = 527231218472
BaseRepresentation
bin111010011100001100000…
…000110011101011011001
3112012220222122220122221001
4322130030000303223121
51011244224431210100
612312531214545001
7563101060266100
oct72341400635331
915186878818831
104015995960025
1113091a1028145
1254a3b0b08161
13231925a98b3a
14dc53793d037
156e6ea453d6a
hex3a70c033ad9

4015995960025 has 81 divisors (see below), whose sum is σ = 5989006543167. Its totient is φ = 2663549834400.

The previous prime is 4015995960001. The next prime is 4015995960049. The reversal of 4015995960025 is 5200695995104.

The square root of 4015995960025 is 2003995.

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

It is an interprime number because it is at equal distance from previous prime (4015995960001) and next prime (4015995960049).

It can be written as a sum of positive squares in only one way, i.e., 1445758545609 + 2570237414416 = 1202397^2 + 1603196^2 .

It is not a de Polignac number, because 4015995960025 - 213 = 4015995951833 is a prime.

It is a super-2 number, since 2×40159959600252 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2174333652 + ... + 2174335498.

Almost surely, 24015995960025 is an apocalyptic number.

4015995960025 is the 2003995-th square number.

4015995960025 is the 1001998-th centered octagonal number.

It is an amenable number.

4015995960025 is a deficient number, since it is larger than the sum of its proper divisors (1973010583142).

4015995960025 is an frugal number, since it uses more digits than its factorization.

4015995960025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 55.

The spelling of 4015995960025 in words is "four trillion, fifteen billion, nine hundred ninety-five million, nine hundred sixty thousand, twenty-five".

Divisors: 1 5 7 25 31 35 49 155 175 217 245 775 961 1085 1225 1519 1847 4805 5425 6727 7595 9235 12929 24025 33635 37975 46175 47089 57257 64645 90503 168175 235445 286285 323225 400799 452515 1177225 1431425 1774967 2003995 2262575 2805593 3411409 8874835 10019975 12424769 14027965 17057045 23879863 44374175 62123845 70139825 85285225 86973383 105753679 119399315 167159041 310619225 434866915 528768395 596996575 740275753 835795205 2174334575 2643841975 3278364049 3701378765 4178976025 5181930271 16391820245 18506893825 22948548343 25909651355 81959101225 114742741715 129548256775 160639838401 573713708575 803199192005 4015995960025