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23276415260240 = 2459711812539829
BaseRepresentation
bin1010100101011011101100…
…11101101001011001010000
310001102012111101210220002222
411102231312131221121100
511022330044301311430
6121301012040000212
74621444161151202
oct522556635513120
9101365441726088
1023276415260240
117464521665a4a
12273b160460068
13ccac5869b70c
145a6827c74772
152a57164729e5
hex152b76769650

23276415260240 has 80 divisors (see below), whose sum is σ = 54721897105680. Its totient is φ = 9206774906880.

The previous prime is 23276415260113. The next prime is 23276415260249. The reversal of 23276415260240 is 4206251467232.

It can be written as a sum of positive squares in 8 ways, for example, as 3497902391824 + 19778512868416 = 1870268^2 + 4447304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 23276415260191 and 23276415260200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23276415260249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7894646 + ... + 10434474.

It is an arithmetic number, because the mean of its divisors is an integer number (684023713821).

Almost surely, 223276415260240 is an apocalyptic number.

23276415260240 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 23276415260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27360948552840).

23276415260240 is an abundant number, since it is smaller than the sum of its proper divisors (31445481845440).

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

23276415260240 is a wasteful number, since it uses less digits than its factorization.

23276415260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541120 (or 2541114 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 23276415260240 in words is "twenty-three trillion, two hundred seventy-six billion, four hundred fifteen million, two hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1181 1552 1940 2362 3880 4724 5905 7760 9448 11810 18896 23620 47240 94480 114557 229114 458228 572785 916456 1145570 1832912 2291140 2539829 4582280 5079658 9164560 10159316 12699145 20318632 25398290 40637264 50796580 101593160 203186320 246363413 492726826 985453652 1231817065 1970907304 2463634130 2999538049 3941814608 4927268260 5999076098 9854536520 11998152196 14997690245 19709073040 23996304392 29995380490 47992608784 59990760980 119981521960 239963043920 290955190753 581910381506 1163820763012 1454775953765 2327641526024 2909551907530 4655283052048 5819103815060 11638207630120 23276415260240