Search a number
-
+
4351013424896 = 28412291810219
BaseRepresentation
bin111111010100001100100…
…111000000111100000000
3120101221201121101012220112
4333110030213000330000
51032241333414044041
613130454501530452
7626231111614655
oct77241447007400
916357647335815
104351013424896
111428288714056
125a3309713a28
132573b6624958
14110839615c2c
15782a6e92deb
hex3f50c9c0f00

4351013424896 has 72 divisors (see below), whose sum is σ = 8935716577200. Its totient is φ = 2113176084480.

The previous prime is 4351013424883. The next prime is 4351013424949. The reversal of 4351013424896 is 6984243101534.

It is a super-2 number, since 2×43510134248962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1498475 + ... + 3308693.

Almost surely, 24351013424896 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 4351013424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467858288600).

4351013424896 is an abundant number, since it is smaller than the sum of its proper divisors (4584703152304).

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

4351013424896 is a wasteful number, since it uses less digits than its factorization.

4351013424896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810505 (or 1810491 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 50.

The spelling of 4351013424896 in words is "four trillion, three hundred fifty-one billion, thirteen million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 229 256 328 458 656 916 1312 1832 2624 3664 5248 7328 9389 10496 14656 18778 29312 37556 58624 75112 150224 300448 600896 1201792 1810219 2403584 3620438 7240876 14481752 28963504 57927008 74218979 115854016 148437958 231708032 296875916 414540151 463416064 593751832 829080302 1187503664 1658160604 2375007328 3316321208 4750014656 6632642416 9500029312 13265284832 16996146191 19000058624 26530569664 33992292382 53061139328 67984584764 106122278656 135969169528 271938339056 543876678112 1087753356224 2175506712448 4351013424896