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794601091216 = 241923723172
BaseRepresentation
bin10111001000000011110…
…10100111000010010000
32210222000010010202110001
423210001322213002100
5101004320334404331
61405011255015344
7111256645556122
oct13440172470220
92728003122401
10794601091216
11286a96667709
12109bba36a554
1359c1359c0aa
142a65d305212
1515a09340561
hexb901ea7090

794601091216 has 135 divisors (see below), whose sum is σ = 1675218488139. Its totient is φ = 365062028544.

The previous prime is 794601091189. The next prime is 794601091247. The reversal of 794601091216 is 612190106497.

The square root of 794601091216 is 891404.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6625308816 + 787975782400 = 81396^2 + 887680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2506627890 + ... + 2506628206.

Almost surely, 2794601091216 is an apocalyptic number.

794601091216 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

794601091216 is the 891404-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 794601091216

794601091216 is an abundant number, since it is smaller than the sum of its proper divisors (880617396923).

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

794601091216 is an equidigital number, since it uses as much as digits as its factorization.

794601091216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The spelling of 794601091216 in words is "seven hundred ninety-four billion, six hundred one million, ninety-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 317 361 592 634 703 722 1268 1369 1406 1444 2536 2738 2812 2888 5072 5476 5624 5776 6023 10952 11248 11729 12046 13357 21904 23458 24092 26011 26714 46916 48184 52022 53428 93832 96368 100489 104044 106856 114437 187664 200978 208088 213712 222851 228874 401956 416176 433973 445702 457748 494209 803912 867946 891404 915496 988418 1607824 1735892 1782808 1830992 1909291 1976836 3471784 3565616 3718093 3818582 3953672 4234169 6943568 7436186 7637164 7907344 8245487 8468338 14872372 15274328 16490974 16936676 29744744 30548656 32981948 33873352 36276529 59489488 65963896 67746704 70643767 72553058 131927792 137569441 141287534 145106116 156664253 275138882 282575068 290212232 313328506 550277764 565150136 580424464 626657012 1100555528 1130300272 1253314024 1342231573 2201111056 2506628048 2613819379 2684463146 5227638758 5368926292 10455277516 10737852584 20910555032 21475705168 41821110064 49662568201 99325136402 198650272804 397300545608 794601091216