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23706224768 = 273124392
BaseRepresentation
bin10110000101000000…
…000100100010000000
32021012010102222211202
4112011000010202000
5342022243143033
614520202400332
71466314404632
oct260500044200
967163388752
1023706224768
11a0656005a6
1247172000a8
13230a49a945
14120c606a52
1593b3118e8
hex585004880

23706224768 has 72 divisors (see below), whose sum is σ = 48911262615. Its totient is φ = 11444624640.

The previous prime is 23706224761. The next prime is 23706224777. The reversal of 23706224768 is 86742260732.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11853112384 + 11853112384 = 108872^2 + 108872^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=108872.

It is not an unprimeable number, because it can be changed into a prime (23706224761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54000293 + ... + 54000731.

Almost surely, 223706224768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23706224768

23706224768 is an abundant number, since it is smaller than the sum of its proper divisors (25205037847).

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

23706224768 is an frugal number, since it uses more digits than its factorization.

23706224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 47.

The spelling of 23706224768 in words is "twenty-three billion, seven hundred six million, two hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 439 496 878 961 992 1756 1922 1984 3512 3844 3968 7024 7688 13609 14048 15376 27218 28096 30752 54436 56192 61504 108872 123008 192721 217744 385442 421879 435488 770884 843758 870976 1541768 1687516 1741952 3083536 3375032 5974351 6167072 6750064 11948702 12334144 13500128 23897404 24668288 27000256 47794808 54000512 95589616 185204881 191179232 370409762 382358464 740819524 764716928 1481639048 2963278096 5926556192 11853112384 23706224768