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23064615552 = 2731111714663
BaseRepresentation
bin10101011110110000…
…100001101010000000
32012112102010212110110
4111132300201222000
5334214020144202
614332402431320
71444363666056
oct253660415200
965472125413
1023064615552
119866413050
124578362540
132237593c14
14118b30c1d6
158eed2526c
hex55ec21a80

23064615552 has 128 divisors (see below), whose sum is σ = 66906385920. Its totient is φ = 6981811200.

The previous prime is 23064615517. The next prime is 23064615557. The reversal of 23064615552 is 25551646032.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 23064615552.

It is not an unprimeable number, because it can be changed into a prime (23064615557) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4943973 + ... + 4948635.

It is an arithmetic number, because the mean of its divisors is an integer number (522706140).

Almost surely, 223064615552 is an apocalyptic number.

23064615552 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 23064615552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33453192960).

23064615552 is an abundant number, since it is smaller than the sum of its proper divisors (43841770368).

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

23064615552 is a wasteful number, since it uses less digits than its factorization.

23064615552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5862 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 23064615552 in words is "twenty-three billion, sixty-four million, six hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1171 1408 2112 2342 3513 4224 4663 4684 7026 9326 9368 12881 13989 14052 18652 18736 25762 27978 28104 37304 37472 38643 51293 51524 55956 56208 74608 74944 77286 102586 103048 111912 112416 149216 149888 153879 154572 205172 206096 223824 224832 298432 307758 309144 410344 412192 447648 449664 596864 615516 618288 820688 824384 895296 1231032 1236576 1641376 1648768 1790592 2462064 2473152 3282752 4924128 4946304 5460373 6565504 9848256 10920746 16381119 19696512 21841492 32762238 43682984 60064103 65524476 87365968 120128206 131048952 174731936 180192309 240256412 262097904 349463872 360384618 480512824 524195808 698927744 720769236 961025648 1048391616 1441538472 1922051296 2096783232 2883076944 3844102592 5766153888 7688205184 11532307776 23064615552