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23276601040 = 24571118792011
BaseRepresentation
bin10101101011011001…
…001011111011010000
32020002012000211212211
4111223121023323100
5340132302213130
614405414201504
71452546562420
oct255331137320
966065024784
1023276601040
119965041970
124617353294
13226c486714
1411ab530480
1591374aa2a
hex56b64bed0

23276601040 has 160 divisors (see below), whose sum is σ = 67541391360. Its totient is φ = 7247577600.

The previous prime is 23276601037. The next prime is 23276601041. The reversal of 23276601040 is 4010667232.

It is a junction number, because it is equal to n+sod(n) for n = 23276600993 and 23276601011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23276601041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11573635 + ... + 11575645.

It is an arithmetic number, because the mean of its divisors is an integer number (422133696).

Almost surely, 223276601040 is an apocalyptic number.

23276601040 is a gapful number since it is divisible by the number (20) 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 23276601040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33770695680).

23276601040 is an abundant number, since it is smaller than the sum of its proper divisors (44264790320).

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

23276601040 is a wasteful number, since it uses less digits than its factorization.

23276601040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3915 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 23276601040 in words is "twenty-three billion, two hundred seventy-six million, six hundred one thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 1879 2011 3080 3758 4022 6160 7516 8044 9395 10055 13153 14077 15032 16088 18790 20110 20669 22121 26306 28154 30064 32176 37580 40220 41338 44242 52612 56308 65765 70385 75160 80440 82676 88484 103345 105224 110605 112616 131530 140770 144683 150320 154847 160880 165352 176968 206690 210448 221210 225232 263060 281540 289366 309694 330704 353936 413380 442420 526120 563080 578732 619388 723415 774235 826760 884840 1052240 1126160 1157464 1238776 1446830 1548470 1653520 1769680 2314928 2477552 2893660 3096940 3778669 5787320 6193880 7557338 11574640 12387760 15114676 18893345 26450683 30229352 37786690 41565359 52901366 60458704 75573380 83130718 105802732 132253415 151146760 166261436 207826795 211605464 264506830 290957513 302293520 332522872 415653590 423210928 529013660 581915026 665045744 831307180 1058027320 1163830052 1454787565 1662614360 2116054640 2327660104 2909575130 3325228720 4655320208 5819150260 11638300520 23276601040