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33124002040 = 2357131736793
BaseRepresentation
bin11110110110010110…
…000010100011111000
310011111110122122112101
4132312112002203320
51020314221031130
623114510153144
72251562241343
oct366626024370
9104443578471
1033124002040
11130586a9aa8
1265051b27b4
13317b67500c
1418632cd45a
15cdd0141ca
hex7b65828f8

33124002040 has 64 divisors (see below), whose sum is σ = 75819188160. Its totient is φ = 13021424640.

The previous prime is 33124002011. The next prime is 33124002061. The reversal of 33124002040 is 4020042133.

It is a super-2 number, since 2×331240020402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33124001999 and 33124002017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881884 + ... + 918676.

It is an arithmetic number, because the mean of its divisors is an integer number (1184674815).

Almost surely, 233124002040 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 33124002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37909594080).

33124002040 is an abundant number, since it is smaller than the sum of its proper divisors (42695186120).

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

33124002040 is a wasteful number, since it uses less digits than its factorization.

33124002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37192 (or 37188 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 33124002040 its reverse (4020042133), we get a palindrome (37144044173).

The spelling of 33124002040 in words is "thirty-three billion, one hundred twenty-four million, two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 317 355 568 634 710 1268 1420 1585 2536 2840 3170 6340 12680 22507 36793 45014 73586 90028 112535 147172 180056 183965 225070 294344 367930 450140 735860 900280 1471720 2612303 5224606 10449212 11663381 13061515 20898424 23326762 26123030 46653524 52246060 58316905 93307048 104492120 116633810 233267620 466535240 828100051 1656200102 3312400204 4140500255 6624800408 8281000510 16562001020 33124002040