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9764121336 = 2333123311279
BaseRepresentation
bin10010001011111110…
…01010101011111000
3221012110220202102120
421011333022223320
5124444103340321
64252515001240
7463651443024
oct110577125370
927173822376
109764121336
114160656972
121a85b99220
13bc7b804b8
14688ac1384
153c2317ec6
hex245fcaaf8

9764121336 has 96 divisors (see below), whose sum is σ = 25319116800. Its totient is φ = 3137745600.

The previous prime is 9764121319. The next prime is 9764121347. The reversal of 9764121336 is 6331214679.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7633545 + ... + 7634823.

It is an arithmetic number, because the mean of its divisors is an integer number (263740800).

Almost surely, 29764121336 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 9764121336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12659558400).

9764121336 is an abundant number, since it is smaller than the sum of its proper divisors (15554995464).

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

9764121336 is a wasteful number, since it uses less digits than its factorization.

9764121336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1646 counting only the distinct ones).

The product of its digits is 163296, while the sum is 42.

The square root of 9764121336 is about 98813.5685824573. The cubic root of 9764121336 is about 2137.3602219325.

The spelling of 9764121336 in words is "nine billion, seven hundred sixty-four million, one hundred twenty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 331 372 662 744 961 993 1279 1324 1922 1986 2558 2648 2883 3837 3844 3972 5116 5766 7674 7688 7944 10232 10261 11532 15348 20522 23064 30696 30783 39649 41044 61566 79298 82088 118947 123132 158596 237894 246264 317192 318091 423349 475788 636182 846698 951576 954273 1229119 1270047 1272364 1693396 1908546 2458238 2540094 2544728 3386792 3687357 3817092 4916476 5080188 7374714 7634184 9832952 10160376 13123819 14749428 26247638 29498856 39371457 52495276 78742914 104990552 157485828 314971656 406838389 813676778 1220515167 1627353556 2441030334 3254707112 4882060668 9764121336