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7274131116 = 22371793731297
BaseRepresentation
bin1101100011001001…
…00110111010101100
3200202221120010222120
412301210212322230
5104344134143431
63201445512540
7345155044230
oct66144467254
920687503876
107274131116
1130a306a40a
1214b0112750
138bc0471c5
144d01185c0
152c8918196
hex1b1926eac

7274131116 has 96 divisors (see below), whose sum is σ = 19573424640. Its totient is φ = 2059582464.

The previous prime is 7274131099. The next prime is 7274131127. The reversal of 7274131116 is 6111314727.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5607780 + ... + 5609076.

It is an arithmetic number, because the mean of its divisors is an integer number (203889840).

Almost surely, 27274131116 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 7274131116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786712320).

7274131116 is an abundant number, since it is smaller than the sum of its proper divisors (12299293524).

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

7274131116 is a wasteful number, since it uses less digits than its factorization.

7274131116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1861 counting only the distinct ones).

The product of its digits is 7056, while the sum is 33.

The square root of 7274131116 is about 85288.5169058532. The cubic root of 7274131116 is about 1937.5832658270.

The spelling of 7274131116 in words is "seven billion, two hundred seventy-four million, one hundred thirty-one thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 373 537 716 746 1074 1119 1253 1297 1492 2148 2238 2506 2594 2611 3759 3891 4476 5012 5188 5222 7518 7782 7833 9079 10444 15036 15564 15666 18158 27237 31332 36316 54474 66767 108948 133534 200301 232163 267068 400602 464326 467369 483781 696489 801204 928652 934738 967562 1392978 1402107 1451343 1625141 1869476 1935124 2785956 2804214 2902686 3250282 3386467 4875423 5608428 5805372 6500564 6772934 9750846 10159401 13545868 19501692 20318802 40637604 86596799 173193598 259790397 346387196 519580794 606177593 1039161588 1212355186 1818532779 2424710372 3637065558 7274131116