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23147795616 = 2531122637577
BaseRepresentation
bin10101100011101101…
…110101010010100000
32012202012122212001120
4111203231311102200
5334401313424431
614344533332240
71446424005411
oct254355652240
965665585046
1023147795616
1198a9366500
1245a0197080
13224b8988aa
1411983a1808
159072a6196
hex563b754a0

23147795616 has 144 divisors (see below), whose sum is σ = 67051841472. Its totient is φ = 6986890240.

The previous prime is 23147795611. The next prime is 23147795623. The reversal of 23147795616 is 61659774132.

It is not an unprimeable number, because it can be changed into a prime (23147795611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3051220 + ... + 3058796.

It is an arithmetic number, because the mean of its divisors is an integer number (465637788).

Almost surely, 223147795616 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 23147795616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33525920736).

23147795616 is an abundant number, since it is smaller than the sum of its proper divisors (43904045856).

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

23147795616 is a wasteful number, since it uses less digits than its factorization.

23147795616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7875 (or 7856 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The spelling of 23147795616 in words is "twenty-three billion, one hundred forty-seven million, seven hundred ninety-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 263 264 352 363 484 526 528 726 789 968 1052 1056 1452 1578 1936 2104 2893 2904 3156 3872 4208 5786 5808 6312 7577 8416 8679 11572 11616 12624 15154 17358 22731 23144 25248 30308 31823 34716 45462 46288 60616 63646 69432 83347 90924 92576 95469 121232 127292 138864 166694 181848 190938 242464 250041 254584 277728 333388 363696 381876 500082 509168 666776 727392 763752 916817 1000164 1018336 1333552 1527504 1833634 1992751 2000328 2667104 2750451 3055008 3667268 3985502 4000656 5500902 5978253 7334536 7971004 8001312 11001804 11956506 14669072 15942008 21920261 22003608 23913012 29338144 31884016 43840522 44007216 47826024 63768032 65760783 87681044 88014432 95652048 131521566 175362088 191304096 241122871 263043132 350724176 482245742 526086264 701448352 723368613 964491484 1052172528 1446737226 1928982968 2104345056 2893474452 3857965936 5786948904 7715931872 11573897808 23147795616