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23274375740 = 22572112393871
BaseRepresentation
bin10101101011010000…
…101100101000111100
32020002000211210100022
4111223100230220330
5340131220010430
614405254351312
71452521633600
oct255320545074
966060753308
1023274375740
119963861a80
12461665b538
13226bb87885
1411ab111500
1591345b4e5
hex56b42ca3c

23274375740 has 144 divisors (see below), whose sum is σ = 64722115584. Its totient is φ = 6938870400.

The previous prime is 23274375737. The next prime is 23274375757. The reversal of 23274375740 is 4757347232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 23274375691 and 23274375700.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 201005 + ... + 294875.

It is an arithmetic number, because the mean of its divisors is an integer number (449459136).

Almost surely, 223274375740 is an apocalyptic number.

23274375740 is a gapful number since it is divisible by the number (20) 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 23274375740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32361057792).

23274375740 is an abundant number, since it is smaller than the sum of its proper divisors (41447739844).

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

23274375740 is a wasteful number, since it uses less digits than its factorization.

23274375740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93928 (or 93919 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 44.

The spelling of 23274375740 in words is "twenty-three billion, two hundred seventy-four million, three hundred seventy-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 49 55 70 77 92 98 110 115 140 154 161 196 220 230 245 253 308 322 385 460 490 506 539 644 770 805 980 1012 1078 1127 1265 1540 1610 1771 2156 2254 2530 2695 3220 3542 4508 5060 5390 5635 7084 8855 10780 11270 12397 17710 22540 24794 35420 49588 61985 93871 123970 187742 247940 375484 469355 657097 938710 1032581 1314194 1877420 2065162 2159033 2628388 3285485 4130324 4318066 4599679 5162905 6570970 7228067 8636132 9199358 10325810 10795165 13141940 14456134 15113231 18398716 20651620 21590330 22998395 23749363 28912268 30226462 36140335 43180660 45996790 47498726 50596469 60452924 72280670 75566155 91993580 94997452 101192938 105792617 118746815 144561340 151132310 166245541 202385876 211585234 237493630 252982345 302264620 332491082 423170468 474987260 505964690 528963085 664982164 831227705 1011929380 1057926170 1163718787 1662455410 2115852340 2327437574 3324910820 4654875148 5818593935 11637187870 23274375740