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23553004320 = 2532541398933
BaseRepresentation
bin10101111011110111…
…100101001100100000
32020210110010120220100
4111323313211030200
5341214032114240
614453050342400
71462444143036
oct257367451440
966713116810
1023553004320
119a9706982a
124693a2aa00
1322b4811c61
1411d6120556
1592cb47e30
hex57bde5320

23553004320 has 144 divisors (see below), whose sum is σ = 82335190392. Its totient is φ = 6127595520.

The previous prime is 23553004313. The next prime is 23553004351. The reversal of 23553004320 is 2340035532.

23553004320 is a `hidden beast` number, since 2 + 35 + 5 + 300 + 4 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6822099216 + 16730905104 = 82596^2 + 129348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 140427 + ... + 258506.

Almost surely, 223553004320 is an apocalyptic number.

23553004320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23553004320 is an abundant number, since it is smaller than the sum of its proper divisors (58782186072).

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

23553004320 is a wasteful number, since it uses less digits than its factorization.

23553004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398995 (or 398984 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

Adding to 23553004320 its reverse (2340035532), we get a palindrome (25893039852).

The spelling of 23553004320 in words is "twenty-three billion, five hundred fifty-three million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 29520 59040 398933 797866 1196799 1595732 1994665 2393598 3191464 3590397 3989330 4787196 5983995 6382928 7180794 7978660 9574392 11967990 12765856 14361588 15957320 16356253 17951985 19148784 23935980 28723176 31914640 32712506 35903970 38297568 47871960 49068759 57446352 63829280 65425012 71807940 81781265 95743920 98137518 114892704 130850024 143615880 147206277 163562530 191487840 196275036 245343795 261700048 287231760 294412554 327125060 392550072 490687590 523400096 574463520 588825108 654250120 736031385 785100144 981375180 1177650216 1308500240 1472062770 1570200288 1962750360 2355300432 2617000480 2944125540 3925500720 4710600864 5888251080 7851001440 11776502160 23553004320