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23680650752 = 291117214549
BaseRepresentation
bin10110000011011110…
…100000111000000000
32021010100022200212222
4112003132200320000
5341444221311002
614513450310212
71465554132053
oct260336407000
967110280788
1023680650752
11a052123450
12470a728368
1323050b53a5
14120906aa9a
15938e5e1a2
hex5837a0e00

23680650752 has 120 divisors (see below), whose sum is σ = 54835050600. Its totient is φ = 10130063360.

The previous prime is 23680650739. The next prime is 23680650811. The reversal of 23680650752 is 25705608632.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1620374 + ... + 1634922.

It is an arithmetic number, because the mean of its divisors is an integer number (456958755).

Almost surely, 223680650752 is an apocalyptic number.

23680650752 is a gapful number since it is divisible by the number (22) 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 23680650752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27417525300).

23680650752 is an abundant number, since it is smaller than the sum of its proper divisors (31154399848).

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

23680650752 is a wasteful number, since it uses less digits than its factorization.

23680650752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14612 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 23680650752 in words is "twenty-three billion, six hundred eighty million, six hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 289 352 374 512 544 578 704 748 1088 1156 1408 1496 2176 2312 2816 2992 3179 4352 4624 5632 5984 6358 8704 9248 11968 12716 14549 18496 23936 25432 29098 36992 47872 50864 58196 73984 95744 101728 116392 147968 160039 203456 232784 247333 320078 406912 465568 494666 640156 813824 931136 989332 1280312 1627648 1862272 1978664 2560624 2720663 3724544 3957328 4204661 5121248 5441326 7449088 7914656 8409322 10242496 10882652 15829312 16818644 20484992 21765304 31658624 33637288 40969984 43530608 46251271 63317248 67274576 81939968 87061216 92502542 126634496 134549152 174122432 185005084 269098304 348244864 370010168 538196608 696489728 740020336 1076393216 1392979456 1480040672 2152786432 2960081344 5920162688 11840325376 23680650752