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23623715340 = 22335112938749
BaseRepresentation
bin10110000000000101…
…010100101000001100
32020222101012002012000
4112000011110220030
5341340132342330
614504054112300
71464263160441
oct260005245014
966871162160
1023623715340
11a022a75a95
1246b364b690
1322c636c2b4
1412016899c8
15933e64560
hex580154a0c

23623715340 has 96 divisors (see below), whose sum is σ = 73563000000. Its totient is φ = 6293915136.

The previous prime is 23623715299. The next prime is 23623715351. The reversal of 23623715340 is 4351732632.

23623715340 is a `hidden beast` number, since 2 + 36 + 23 + 71 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23623715295 and 23623715304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590286 + ... + 629034.

It is an arithmetic number, because the mean of its divisors is an integer number (766281250).

Almost surely, 223623715340 is an apocalyptic number.

23623715340 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 23623715340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36781500000).

23623715340 is an abundant number, since it is smaller than the sum of its proper divisors (49939284660).

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

23623715340 is a wasteful number, since it uses less digits than its factorization.

23623715340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39896 (or 39888 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 23623715340 in words is "twenty-three billion, six hundred twenty-three million, seven hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1129 2258 3387 4516 5645 6774 10161 11290 13548 16935 20322 22580 30483 33870 38749 40644 50805 60966 67740 77498 101610 116247 121932 152415 154996 193745 203220 232494 304830 348741 387490 464988 581235 609660 697482 774980 1046223 1162470 1394964 1743705 2092446 2324940 3487410 4184892 5231115 6974820 10462230 20924460 43747621 87495242 131242863 174990484 218738105 262485726 393728589 437476210 524971452 656214315 787457178 874952420 1181185767 1312428630 1574914356 1968642945 2362371534 2624857260 3937285890 4724743068 5905928835 7874571780 11811857670 23623715340