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23390648886544 = 2429217322412
BaseRepresentation
bin1010101000110000011110…
…10100010110010100010000
310001211010100112112100222021
411110120033110112110100
511031213022103332134
6121425303223021224
74632630041023402
oct524301724262420
9101733315470867
1023390648886544
1174a8a1155a175
122759320b9a814
131008962018a34
145ac183424b72
152a86a008d0b4
hex15460f516510

23390648886544 has 135 divisors (see below), whose sum is σ = 47405581960269. Its totient is φ = 11180181411840.

The previous prime is 23390648886541. The next prime is 23390648886547. The reversal of 23390648886544 is 44568884609332.

It is a happy number.

The square root of 23390648886544 is 4836388.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (23390648886541) and next prime (23390648886547).

It can be written as a sum of positive squares in 13 ways, for example, as 6538339600 + 23384110546944 = 80860^2 + 4835712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23390648886541) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97056634264 + ... + 97056634504.

Almost surely, 223390648886544 is an apocalyptic number.

23390648886544 is the 4836388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23390648886544

23390648886544 is an abundant number, since it is smaller than the sum of its proper divisors (24014933073725).

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

23390648886544 is an frugal number, since it uses more digits than its factorization.

23390648886544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 70.

The spelling of 23390648886544 in words is "twenty-three trillion, three hundred ninety billion, six hundred forty-eight million, eight hundred eighty-six thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 173 232 241 346 464 482 692 841 964 1384 1682 1928 2768 3364 3856 5017 6728 6989 10034 13456 13978 20068 27956 29929 40136 41693 55912 58081 59858 80272 83386 111824 116162 119716 145493 166772 202681 232324 239432 290986 333544 405362 464648 478864 581972 667088 810724 867941 929296 1163944 1209097 1621448 1684349 1735882 2327888 2418194 3242896 3368698 3471764 4836388 6737396 6943528 7212889 9672776 10048013 13474792 13887056 14425778 19345552 20096026 25170289 26949584 28851556 35063813 40192052 48846121 50340578 57703112 70127626 80384104 97692242 100681156 115406224 140255252 160768208 195384484 201362312 209173781 280510504 291392377 390768968 402724624 418347562 561021008 582784754 781537936 836695124 1165569508 1673390248 1738306249 2331139016 3346780496 3476612498 4662278032 6066039649 6953224996 8450378933 12132079298 13906449992 16900757866 24264158596 27812899984 33801515732 48528317192 50410881221 67603031464 97056634384 100821762442 135206062928 201643524884 403287049768 806574099536 1461915555409 2923831110818 5847662221636 11695324443272 23390648886544