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23706649340 = 22511193601929
BaseRepresentation
bin10110000101000001…
…101100001011111100
32021012011020120020122
4112011001230023330
5342022400234330
614520215434112
71466321123513
oct260501541374
967164216218
1023706649340
11a065870590
124717385938
13230a5b8c7a
14120c6b767a
1593b3975e5
hex58506c2fc

23706649340 has 96 divisors (see below), whose sum is σ = 54740871360. Its totient is φ = 8552448000.

The previous prime is 23706649339. The next prime is 23706649349. The reversal of 23706649340 is 4394660732.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 23706649291 and 23706649300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23706649349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25517996 + ... + 25518924.

It is an arithmetic number, because the mean of its divisors is an integer number (570217410).

Almost surely, 223706649340 is an apocalyptic number.

23706649340 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 23706649340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27370435680).

23706649340 is an abundant number, since it is smaller than the sum of its proper divisors (31034222020).

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

23706649340 is a wasteful number, since it uses less digits than its factorization.

23706649340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 44.

The spelling of 23706649340 in words is "twenty-three billion, seven hundred six million, six hundred forty-nine thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 601 772 929 965 1202 1858 1930 2123 2404 3005 3716 3860 4246 4645 6010 6611 8492 9290 10219 10615 12020 13222 18580 20438 21230 26444 33055 40876 42460 51095 66110 102190 115993 132220 179297 204380 231986 358594 463972 558329 579965 717188 896485 1116658 1159930 1275923 1792970 1972267 2233316 2319860 2551846 2791645 3585940 3944534 5103692 5583290 6141619 6379615 7889068 9861335 11166580 12283238 12759230 19722670 24566476 25518460 30708095 39445340 61416190 107757497 122832380 215514994 431029988 538787485 1077574970 1185332467 2155149940 2370664934 4741329868 5926662335 11853324670 23706649340