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23190823824 = 24372312723629
BaseRepresentation
bin10101100110010001…
…111110001110010000
32012212012121220122220
4111212101332032100
5334443322330244
614353111501040
71450455515160
oct254621761620
965765556586
1023190823824
119920685203
1245b2687780
13225778287c
14119dda25a0
1590ae55319
hex56647e390

23190823824 has 160 divisors (see below), whose sum is σ = 72010629120. Its totient is φ = 6287694336.

The previous prime is 23190823823. The next prime is 23190823897. The reversal of 23190823824 is 42832809132.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (23190823823) 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 31 ways as a sum of consecutive naturals, for example, 969642 + ... + 993270.

It is an arithmetic number, because the mean of its divisors is an integer number (450066432).

Almost surely, 223190823824 is an apocalyptic number.

23190823824 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 23190823824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36005314560).

23190823824 is an abundant number, since it is smaller than the sum of its proper divisors (48819805296).

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

23190823824 is a wasteful number, since it uses less digits than its factorization.

23190823824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23797 (or 23791 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 23190823824 in words is "twenty-three billion, one hundred ninety million, eight hundred twenty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 127 138 161 168 184 254 276 322 336 368 381 483 508 552 644 762 889 966 1016 1104 1288 1524 1778 1932 2032 2576 2667 2921 3048 3556 3864 5334 5842 6096 7112 7728 8763 10668 11684 14224 17526 20447 21336 23368 23629 35052 40894 42672 46736 47258 61341 70104 70887 81788 94516 122682 140208 141774 163576 165403 189032 245364 283548 327152 330806 378064 490728 496209 543467 567096 661612 981456 992418 1086934 1134192 1323224 1630401 1984836 2173868 2646448 3000883 3260802 3804269 3969672 4347736 6001766 6521604 7608538 7939344 8695472 9002649 11412807 12003532 13043208 15217076 18005298 21006181 22825614 24007064 26086416 30434152 36010596 42012362 45651228 48014128 60868304 63018543 69020309 72021192 84024724 91302456 126037086 138040618 144042384 168049448 182604912 207060927 252074172 276081236 336098896 414121854 483142163 504148344 552162472 828243708 966284326 1008296688 1104324944 1449426489 1656487416 1932568652 2898852978 3312974832 3865137304 5797705956 7730274608 11595411912 23190823824