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7825214982 = 23134112719267
BaseRepresentation
bin1110100100110101…
…10100111000000110
3202012100112002221010
413102122310320012
5112011223334412
63332253303050
7364626141564
oct72232647006
922170462833
107825214982
113356147922
121624794a86
13979276b30
145433aaa34
1530bec233c
hex1d26b4e06

7825214982 has 64 divisors (see below), whose sum is σ = 17402241024. Its totient is φ = 2330415360.

The previous prime is 7825214953. The next prime is 7825215007. The reversal of 7825214982 is 2894125287.

It is a super-2 number, since 2×78252149822 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396513 + ... + 415779.

It is an arithmetic number, because the mean of its divisors is an integer number (271910016).

Almost surely, 27825214982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7825214982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701120512).

7825214982 is an abundant number, since it is smaller than the sum of its proper divisors (9577026042).

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

7825214982 is a wasteful number, since it uses less digits than its factorization.

7825214982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19453.

The product of its digits is 645120, while the sum is 48.

The square root of 7825214982 is about 88460.2452065333. The cubic root of 7825214982 is about 1985.3271995402.

The spelling of 7825214982 in words is "seven billion, eight hundred twenty-five million, two hundred fourteen thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 127 246 254 381 533 762 1066 1599 1651 3198 3302 4953 5207 9906 10414 15621 19267 31242 38534 57801 67691 115602 135382 203073 250471 406146 500942 751413 789947 1502826 1579894 2369841 2446909 4739682 4893818 7340727 10269311 14681454 20538622 30807933 31809817 61615866 63619634 95429451 100323269 190858902 200646538 300969807 601939614 1304202497 2608404994 3912607491 7825214982