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32381540120 = 23537612511429
BaseRepresentation
bin11110001010000101…
…110001011100011000
310002120201120200020202
4132022011301130120
51012304133240440
622513104441332
72224305356336
oct361205613430
9102521520222
1032381540120
1112807598406
126338619248
1330908b9637
1417d2860b56
15c97c55615
hex78a171718

32381540120 has 128 divisors (see below), whose sum is σ = 76410734400. Its totient is φ = 12337920000.

The previous prime is 32381540119. The next prime is 32381540129. The reversal of 32381540120 is 2104518323.

It is a happy number.

It is a super-2 number, since 2×323815401202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32381540129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22659566 + ... + 22660994.

Almost surely, 232381540120 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 32381540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38205367200).

32381540120 is an abundant number, since it is smaller than the sum of its proper divisors (44029194280).

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

32381540120 is a wasteful number, since it uses less digits than its factorization.

32381540120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 32381540120 in words is "thirty-two billion, three hundred eighty-one million, five hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 61 74 122 148 185 244 251 296 305 370 488 502 610 740 1004 1220 1255 1429 1480 2008 2257 2440 2510 2858 4514 5020 5716 7145 9028 9287 10040 11285 11432 14290 15311 18056 18574 22570 28580 30622 37148 45140 46435 52873 57160 61244 74296 76555 87169 90280 92870 105746 122488 153110 174338 185740 211492 264365 306220 348676 358679 371480 422984 435845 528730 566507 612440 697352 717358 871690 1057460 1133014 1434716 1743380 1793395 2114920 2266028 2832535 2869432 3225253 3486760 3586790 4532056 5665070 6450506 7173580 11330140 12901012 13271123 14347160 16126265 21879419 22660280 25802024 26542246 32252530 43758838 53084492 64505060 66355615 87517676 106168984 109397095 129010120 132711230 175035352 218794190 265422460 437588380 530844920 809538503 875176760 1619077006 3238154012 4047692515 6476308024 8095385030 16190770060 32381540120