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7014909648 = 2431731674139
BaseRepresentation
bin1101000100001111…
…10000011011010000
3200002212210022222110
412202013300123100
5103331304102043
63120025505320
7335556514425
oct64207603320
920085708873
107014909648
112a7a80849a
121439342240
1387a426416
144a791bd4c
152b0cb1b33
hex1a21f06d0

7014909648 has 160 divisors (see below), whose sum is σ = 20107284480. Its totient is φ = 2097469440.

The previous prime is 7014909623. The next prime is 7014909677. The reversal of 7014909648 is 8469094107.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7014909597 and 7014909606.

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, 1692763 + ... + 1696901.

It is an arithmetic number, because the mean of its divisors is an integer number (125670528).

Almost surely, 27014909648 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 7014909648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053642240).

7014909648 is an abundant number, since it is smaller than the sum of its proper divisors (13092374832).

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

7014909648 is a wasteful number, since it uses less digits than its factorization.

7014909648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4265 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 7014909648 is about 83755.0574472969. The cubic root of 7014909648 is about 1914.2883687241.

The spelling of 7014909648 in words is "seven billion, fourteen million, nine hundred nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 67 68 93 102 124 134 136 186 201 204 248 268 272 372 402 408 496 527 536 744 804 816 1054 1072 1139 1488 1581 1608 2077 2108 2278 3162 3216 3417 4139 4154 4216 4556 6231 6324 6834 8278 8308 8432 9112 12417 12462 12648 13668 16556 16616 18224 24834 24924 25296 27336 33112 33232 35309 49668 49848 54672 66224 70363 70618 99336 99696 105927 128309 140726 141236 198672 211089 211854 256618 277313 281452 282472 384927 422178 423708 513236 554626 562904 564944 769854 831939 844356 847416 1026472 1109252 1125808 1539708 1663878 1688712 1694832 2052944 2181253 2218504 3079416 3327756 3377424 4362506 4437008 4714321 6158832 6543759 6655512 8596703 8725012 9428642 13087518 13311024 14142963 17193406 17450024 18857284 25790109 26175036 28285926 34386812 34900048 37714568 51580218 52350072 56571852 68773624 75429136 103160436 104700144 113143704 137547248 146143951 206320872 226287408 292287902 412641744 438431853 584575804 876863706 1169151608 1753727412 2338303216 3507454824 7014909648