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31384074672 = 243479306533
BaseRepresentation
bin11101001110101000…
…101111100110110000
310000000012200011220000
4131032220233212300
51003233310342142
622230113350000
72160504142656
oct351650574660
9100005604800
1031384074672
11123455458a5
1260ba568300
132c62058cb2
14173a1b2dd6
15c3a3c514c
hex74ea2f9b0

31384074672 has 100 divisors (see below), whose sum is σ = 91984722720. Its totient is φ = 10328902272.

The previous prime is 31384074661. The next prime is 31384074679. The reversal of 31384074672 is 27647048313.

31384074672 is a `hidden beast` number, since 3 + 138 + 407 + 46 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (31384074679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50883 + ... + 255650.

Almost surely, 231384074672 is an apocalyptic number.

It is an amenable number.

31384074672 is an abundant number, since it is smaller than the sum of its proper divisors (60600648048).

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

31384074672 is a wasteful number, since it uses less digits than its factorization.

31384074672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306632 (or 306617 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 31384074672 in words is "thirty-one billion, three hundred eighty-four million, seventy-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 316 324 432 474 632 648 711 948 1264 1296 1422 1896 2133 2844 3792 4266 5688 6399 8532 11376 12798 17064 25596 34128 51192 102384 306533 613066 919599 1226132 1839198 2452264 2758797 3678396 4904528 5517594 7356792 8276391 11035188 14713584 16552782 22070376 24216107 24829173 33105564 44140752 48432214 49658346 66211128 72648321 96864428 99316692 132422256 145296642 193728856 198633384 217944963 290593284 387457712 397266768 435889926 581186568 653834889 871779852 1162373136 1307669778 1743559704 1961504667 2615339556 3487119408 3923009334 5230679112 7846018668 10461358224 15692037336 31384074672