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6361059028996 = 227247238332
BaseRepresentation
bin101110010010000110010…
…1010011111000000000100
3211112010000010210122001201
41130210030222133000010
51313204422102411441
621310121415032244
71224366654423400
oct134441452370004
924463003718051
106361059028996
112032789a97991
1286899596b684
13371acb152a59
1417dc3c2da100
15b06ebd3ac31
hex5c90ca9f004

6361059028996 has 81 divisors (see below), whose sum is σ = 13234130477589. Its totient is φ = 2667468474048.

The previous prime is 6361059028991. The next prime is 6361059028999. The reversal of 6361059028996 is 6998209501636.

The square root of 6361059028996 is 2522114.

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., 1379520720900 + 4981538308096 = 1174530^2 + 2231936^2 .

It is not an unprimeable number, because it can be changed into a prime (6361059028991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1659549096 + ... + 1659552928.

Almost surely, 26361059028996 is an apocalyptic number.

6361059028996 is the 2522114-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6361059028996

6361059028996 is an abundant number, since it is smaller than the sum of its proper divisors (6873071448593).

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

6361059028996 is an frugal number, since it uses more digits than its factorization.

6361059028996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7778 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 64.

Multiplying 6361059028996 by its sum of digits (64), we get a square (407107777855744 = 201769122).

The spelling of 6361059028996 in words is "six trillion, three hundred sixty-one billion, fifty-nine million, twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1316 2209 2303 3833 4418 4606 7666 8836 9212 15332 15463 26831 30926 53662 61852 107324 108241 180151 187817 216482 360302 375634 432964 720604 751268 1261057 2522114 5044228 8467097 8827399 14691889 16934194 17654798 29383778 33868388 35309596 58767556 59269679 102843223 118539358 205686446 237078716 411372892 414887753 690518783 719902561 829775506 1381037566 1439805122 1659551012 2762075132 2879610244 4833631481 9667262962 19334525924 32454382801 33835420367 64908765602 67670840734 129817531204 135341681468 227180679607 454361359214 908722718428 1590264757249 3180529514498 6361059028996