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8690770968 = 23311892111753
BaseRepresentation
bin10000001100000001…
…01010010000011000
3211102200012220112020
420012000222100120
5120244314132333
63554213214440
7425236222455
oct100600522030
924380186466
108690770968
11375a793950
121826631420
13a866a0839
145c631c82c
1535ce983b3
hex20602a418

8690770968 has 128 divisors (see below), whose sum is σ = 24095750400. Its totient is φ = 2590156800.

The previous prime is 8690770939. The next prime is 8690770973.

8690770968 is nontrivially palindromic in base 10.

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, 4956780 + ... + 4958532.

It is an arithmetic number, because the mean of its divisors is an integer number (188248050).

Almost surely, 28690770968 is an apocalyptic number.

8690770968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8690770968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047875200).

8690770968 is an abundant number, since it is smaller than the sum of its proper divisors (15404979432).

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

8690770968 is a wasteful number, since it uses less digits than its factorization.

8690770968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 60.

The square root of 8690770968 is about 93224.3045991763. The cubic root of 8690770968 is about 2055.9826005230.

The spelling of 8690770968 in words is "eight billion, six hundred ninety million, seven hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 211 264 267 356 422 534 633 712 844 979 1068 1266 1688 1753 1958 2136 2321 2532 2937 3506 3916 4642 5064 5259 5874 6963 7012 7832 9284 10518 11748 13926 14024 18568 18779 19283 21036 23496 27852 37558 38566 42072 55704 56337 57849 75116 77132 112674 115698 150232 154264 156017 206569 225348 231396 312034 369883 413138 450696 462792 468051 619707 624068 739766 826276 936102 1109649 1239414 1248136 1479532 1652552 1716187 1872204 2219298 2478828 2959064 3432374 3744408 4068713 4438596 4957656 5148561 6864748 8137426 8877192 10297122 12206139 13729496 16274852 20594244 24412278 32549704 32919587 41188488 48824556 65839174 97649112 98758761 131678348 197517522 263356696 362115457 395035044 724230914 790070088 1086346371 1448461828 2172692742 2896923656 4345385484 8690770968