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23381016984 = 2333138993557
BaseRepresentation
bin10101110001100111…
…100000000110011000
32020100110111201122000
4111301213200012120
5340341020020414
614424024201000
71455255236163
oct256147400630
966313451560
1023381016984
119a08a7a136
124646309160
132287cb51c0
1411bb350ada
1591c9c3b09
hex5719e0198

23381016984 has 128 divisors (see below), whose sum is σ = 70729848000. Its totient is φ = 7113249792.

The previous prime is 23381016961. The next prime is 23381016991. The reversal of 23381016984 is 48961018332.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203134 + ... + 296690.

Almost surely, 223381016984 is an apocalyptic number.

23381016984 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 23381016984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35364924000).

23381016984 is an abundant number, since it is smaller than the sum of its proper divisors (47348831016).

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

23381016984 is a wasteful number, since it uses less digits than its factorization.

23381016984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93674 (or 93664 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 23381016984 in words is "twenty-three billion, three hundred eighty-one million, sixteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 89 104 108 117 156 178 216 234 267 312 351 356 468 534 702 712 801 936 1068 1157 1404 1602 2136 2314 2403 2808 3204 3471 4628 4806 6408 6942 9256 9612 10413 13884 19224 20826 27768 31239 41652 62478 83304 93557 124956 187114 249912 280671 374228 561342 748456 842013 1122684 1216241 1684026 2245368 2432482 2526039 3368052 3648723 4864964 5052078 6736104 7297446 8326573 9729928 10104156 10946169 14594892 16653146 20208312 21892338 24979719 29189784 32838507 33306292 43784676 49959438 65677014 66612584 74939157 87569352 99918876 108245449 131354028 149878314 199837752 216490898 224817471 262708056 299756628 324736347 432981796 449634942 599513256 649472694 865963592 899269884 974209041 1298945388 1798539768 1948418082 2597890776 2922627123 3896836164 5845254246 7793672328 11690508492 23381016984