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6198292096 = 273741137233
BaseRepresentation
bin1011100010111001…
…00110111010000000
3120222222011212021221
411301130212322000
5100143230321341
62503014524424
7306412420303
oct56134467200
916888155257
106198292096
1126a0857657
12124b966714
1377a1a5879
1442b2a8b3a
15264255ed1
hex171726e80

6198292096 has 128 divisors (see below), whose sum is σ = 13142198160. Its totient is φ = 2907832320.

The previous prime is 6198292091. The next prime is 6198292097. The reversal of 6198292096 is 6902928916.

It can be written as a sum of positive squares in 8 ways, for example, as 2068430400 + 4129861696 = 45480^2 + 64264^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6198292091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26601996 + ... + 26602228.

Almost surely, 26198292096 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 6198292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571099080).

6198292096 is an abundant number, since it is smaller than the sum of its proper divisors (6943906064).

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

6198292096 is a wasteful number, since it uses less digits than its factorization.

6198292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The square root of 6198292096 is about 78729.2327918925. The cubic root of 6198292096 is about 1836.9218477323.

The spelling of 6198292096 in words is "six billion, one hundred ninety-eight million, two hundred ninety-two thousand, ninety-six".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 128 137 148 164 233 274 296 328 466 548 592 656 932 1096 1184 1312 1517 1864 2192 2368 2624 3034 3728 4384 4736 5069 5248 5617 6068 7456 8621 8768 9553 10138 11234 12136 14912 17242 17536 19106 20276 22468 24272 29824 31921 34484 38212 40552 44936 48544 63842 68968 76424 81104 89872 97088 127684 137936 152848 162208 179744 194176 207829 255368 275872 305696 324416 353461 359488 415658 510736 551744 611392 648832 706922 718976 831316 1021472 1103488 1181077 1222784 1308761 1413844 1662632 2042944 2362154 2617522 2827688 3325264 4085888 4724308 5235044 5655376 6650528 9448616 10470088 11310752 13301056 18897232 20940176 22621504 26602112 37794464 41880352 45243008 48424157 75588928 83760704 96848314 151177856 167521408 193696628 387393256 774786512 1549573024 3099146048 6198292096