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31773297852064 = 2529532572513653
BaseRepresentation
bin1110011100101110011000…
…01000011011111010100000
311011111111102202110021010201
413032113030020123322200
513131033203222231224
6151324241310234544
76456354640416406
oct716271410337240
9134444382407121
1031773297852064
11a13aa8634478a
123691a651b5a54
1314962945cbb02
147bbb9b6cb476
153a176a4d4a44
hex1ce5cc21bea0

31773297852064 has 96 divisors (see below), whose sum is σ = 66188230027920. Its totient is φ = 14990857469952.

The previous prime is 31773297852007. The next prime is 31773297852083. The reversal of 31773297852064 is 46025879237713.

It can be written as a sum of positive squares in 8 ways, for example, as 25811398962064 + 5961898890000 = 5080492^2 + 2441700^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31773297851987 and 31773297852005.

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, 11383462 + ... + 13897114.

It is a 2-persistent number, because it is pandigital, and so is 2⋅31773297852064 = 63546595704128, but 3⋅31773297852064 = 95319893556192 is not.

Almost surely, 231773297852064 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 31773297852064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33094115013960).

31773297852064 is an abundant number, since it is smaller than the sum of its proper divisors (34414932175856).

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

31773297852064 is a wasteful number, since it uses less digits than its factorization.

31773297852064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514002 (or 2513994 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 64.

The spelling of 31773297852064 in words is "thirty-one trillion, seven hundred seventy-three billion, two hundred ninety-seven million, eight hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 53 58 106 116 212 232 257 424 464 514 848 928 1028 1537 1696 2056 3074 4112 6148 7453 8224 12296 13621 14906 24592 27242 29812 49184 54484 59624 108968 119248 217936 238496 395009 435872 790018 1580036 2513653 3160072 5027306 6320144 10054612 12640288 20109224 40218448 72895937 80436896 133223609 145791874 266447218 291583748 532894436 583167496 646008821 1065788872 1166334992 1292017642 2131577744 2332669984 2584035284 3863484661 4263155488 5168070568 7726969322 10336141136 15453938644 18734255809 20672282272 30907877288 34238467513 37468511618 61815754576 68476935026 74937023236 123631509152 136953870052 149874046472 273907740104 299748092944 547815480208 599496185888 992915557877 1095630960416 1985831115754 3971662231508 7943324463016 15886648926032 31773297852064