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23372646144 = 28333191943
BaseRepresentation
bin10101110001000111…
…100100011100000000
32020022212202102222220
4111301013210130000
5340331344134034
614423124531040
71455124133331
oct256107443400
966285672886
1023372646144
119a04281a91
124643550a80
132286344043
1411ba1b2288
1591bdbd749
hex5711e4700

23372646144 has 72 divisors (see below), whose sum is σ = 62393933952. Its totient is φ = 7767260160.

The previous prime is 23372646127. The next prime is 23372646179. The reversal of 23372646144 is 44164627332.

It is a junction number, because it is equal to n+sod(n) for n = 23372646096 and 23372646105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208237 + ... + 300179.

It is an arithmetic number, because the mean of its divisors is an integer number (866582416).

Almost surely, 223372646144 is an apocalyptic number.

23372646144 is a gapful number since it is divisible by the number (24) 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 23372646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31196966976).

23372646144 is an abundant number, since it is smaller than the sum of its proper divisors (39021287808).

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

23372646144 is an equidigital number, since it uses as much as digits as its factorization.

23372646144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92293 (or 92279 counting only the distinct ones).

The product of its digits is 580608, while the sum is 42.

The spelling of 23372646144 in words is "twenty-three billion, three hundred seventy-two million, six hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 331 384 662 768 993 1324 1986 2648 3972 5296 7944 10592 15888 21184 31776 42368 63552 84736 91943 127104 183886 254208 275829 367772 551658 735544 1103316 1471088 2206632 2942176 4413264 5884352 8826528 11768704 17653056 23537408 30433133 35306112 60866266 70612224 91299399 121732532 182598798 243465064 365197596 486930128 730395192 973860256 1460790384 1947720512 2921580768 3895441024 5843161536 7790882048 11686323072 23372646144