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31770806848 = 2611417913933
BaseRepresentation
bin11101100101101100…
…000000101001000000
310001000011101012200221
4131211230000221000
51010031311304343
622332330352424
72203211255014
oct354554005100
9101004335627
1031770806848
1112523879470
1261a7b8b714
132cc42034c1
1417756c2544
15c5e3175ed
hex765b00a40

31770806848 has 112 divisors (see below), whose sum is σ = 71350997760. Its totient is φ = 13909708800.

The previous prime is 31770806843. The next prime is 31770806857. The reversal of 31770806848 is 84860807713.

It is a junction number, because it is equal to n+sod(n) for n = 31770806795 and 31770806804.

It is not an unprimeable number, because it can be changed into a prime (31770806843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2273290 + ... + 2287222.

It is an arithmetic number, because the mean of its divisors is an integer number (637062480).

Almost surely, 231770806848 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 31770806848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35675498880).

31770806848 is an abundant number, since it is smaller than the sum of its proper divisors (39580190912).

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

31770806848 is a wasteful number, since it uses less digits than its factorization.

31770806848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14076 (or 14066 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 31770806848 in words is "thirty-one billion, seven hundred seventy million, eight hundred six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 79 82 88 158 164 176 316 328 352 451 632 656 704 869 902 1264 1312 1738 1804 2528 2624 3239 3476 3608 5056 6478 6952 7216 12956 13904 13933 14432 25912 27808 27866 28864 35629 51824 55616 55732 71258 103648 111464 142516 153263 207296 222928 285032 306526 445856 570064 571253 613052 891712 1100707 1140128 1142506 1226104 2201414 2280256 2285012 2452208 4402828 4570024 4904416 6283783 8805656 9140048 9808832 12107777 12567566 17611312 18280096 24215554 25135132 35222624 36560192 45128987 48431108 50270264 70445248 90257974 96862216 100540528 180515948 193724432 201081056 361031896 387448864 402162112 496418857 722063792 774897728 992837714 1444127584 1985675428 2888255168 3971350856 7942701712 15885403424 31770806848