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31097029248 = 273341219463
BaseRepresentation
bin11100111101100001…
…110000001010000000
32222021012112202121000
4130331201300022000
51002141314413443
622141421132000
72150420246565
oct347541601200
988235482530
1031097029248
111220850a37a
12603a3ba000
132c1774582c
14171001286c
15c200c48d3
hex73d870280

31097029248 has 128 divisors (see below), whose sum is σ = 94018377600. Its totient is φ = 10112808960.

The previous prime is 31097029219. The next prime is 31097029259. The reversal of 31097029248 is 84292079013.

31097029248 is a `hidden beast` number, since 310 + 9 + 7 + 0 + 292 + 48 = 666.

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

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, 31965 + ... + 251427.

It is an arithmetic number, because the mean of its divisors is an integer number (734518575).

Almost surely, 231097029248 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 31097029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47009188800).

31097029248 is an abundant number, since it is smaller than the sum of its proper divisors (62921348352).

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

31097029248 is a wasteful number, since it uses less digits than its factorization.

31097029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219527 (or 219509 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 31097029248 in words is "thirty-one billion, ninety-seven million, twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 432 492 576 656 738 864 984 1107 1152 1312 1476 1728 1968 2214 2624 2952 3456 3936 4428 5248 5904 7872 8856 11808 15744 17712 23616 35424 47232 70848 141696 219463 438926 658389 877852 1316778 1755704 1975167 2633556 3511408 3950334 5267112 5925501 7022816 7900668 8997983 10534224 11851002 14045632 15801336 17995966 21068448 23702004 26993949 28091264 31602672 35991932 42136896 47404008 53987898 63205344 71983864 80981847 84273792 94808016 107975796 126410688 143967728 161963694 189616032 215951592 242945541 252821376 287935456 323927388 379232064 431903184 485891082 575870912 647854776 758464128 863806368 971782164 1151741824 1295709552 1727612736 1943564328 2591419104 3455225472 3887128656 5182838208 7774257312 10365676416 15548514624 31097029248