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23774194048 = 2711971091597
BaseRepresentation
bin10110001001000011…
…010110100110000000
32021100212100012011111
4112021003112212000
5342142143202143
614531031253104
71501101213043
oct261103264600
967325305144
1023774194048
11a09aa04960
124735b1a194
13231b5a8057
14121765ac5a
1594228a99d
hex5890d6980

23774194048 has 128 divisors (see below), whose sum is σ = 52712906400. Its totient is φ = 10590289920.

The previous prime is 23774194027. The next prime is 23774194061. The reversal of 23774194048 is 84049147732.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 23774193992 and 23774194010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14885986 + ... + 14887582.

Almost surely, 223774194048 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 23774194048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26356453200).

23774194048 is an abundant number, since it is smaller than the sum of its proper divisors (28938712352).

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

23774194048 is a wasteful number, since it uses less digits than its factorization.

23774194048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 23774194048 in words is "twenty-three billion, seven hundred seventy-four million, one hundred ninety-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 109 128 176 194 218 352 388 436 704 776 872 1067 1199 1408 1552 1597 1744 2134 2398 3104 3194 3488 4268 4796 6208 6388 6976 8536 9592 10573 12416 12776 13952 17072 17567 19184 21146 25552 34144 35134 38368 42292 51104 68288 70268 76736 84584 102208 116303 136576 140536 153472 154909 169168 174073 204416 232606 281072 309818 338336 348146 465212 562144 619636 676672 696292 930424 1124288 1239272 1353344 1392584 1703999 1860848 1914803 2248576 2478544 2785168 3407998 3721696 3829606 4957088 5570336 6815996 7443392 7659212 9914176 11140672 13631992 14886784 15318424 16885081 19828352 22281344 27263984 30636848 33770162 54527968 61273696 67540324 109055936 122547392 135080648 185735891 218111872 245094784 270161296 371471782 540322592 742943564 1080645184 1485887128 2161290368 2971774256 5943548512 11887097024 23774194048