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797206122496 = 2127219932
BaseRepresentation
bin10111001100111010011…
…00000001000000000000
32211012201122222001120001
423212131030001000000
5101030134231404441
61410121553525344
7111411340143400
oct13463514010000
92735648861501
10797206122496
11288103089223
1210a606873854
135a23a1b4114
142a829296800
1515b0cdb6731
hexb99d301000

797206122496 has 117 divisors (see below), whose sum is σ = 1855429014141. Its totient is φ = 341488336896.

The previous prime is 797206122491. The next prime is 797206122499. The reversal of 797206122496 is 694221602797.

The square root of 797206122496 is 892864.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 583451545600 + 213754576896 = 763840^2 + 462336^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (797206122491) 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 8 ways as a sum of consecutive naturals, for example, 400002076 + ... + 400004068.

Almost surely, 2797206122496 is an apocalyptic number.

797206122496 is the 892864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 797206122496

797206122496 is an abundant number, since it is smaller than the sum of its proper divisors (1058222891645).

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

797206122496 is an frugal number, since it uses more digits than its factorization.

797206122496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 797206122496 in words is "seven hundred ninety-seven billion, two hundred six million, one hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 1993 2048 3136 3584 3986 4096 6272 7168 7972 12544 13951 14336 15944 25088 27902 28672 31888 50176 55804 63776 97657 100352 111608 127552 195314 200704 223216 255104 390628 446432 510208 781256 892864 1020416 1562512 1785728 2040832 3125024 3571456 3972049 4081664 6250048 7142912 7944098 8163328 12500096 14285824 15888196 25000192 27804343 28571648 31776392 50000384 55608686 57143296 63552784 100000768 111217372 127105568 194630401 200001536 222434744 254211136 389260802 400003072 444869488 508422272 778521604 889738976 1016844544 1557043208 1779477952 2033689088 3114086416 3558955904 4067378176 6228172832 7117911808 8134756352 12456345664 14235823616 16269512704 24912691328 28471647232 49825382656 56943294464 99650765312 113886588928 199301530624 398603061248 797206122496