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335742026872 = 23753919123091
BaseRepresentation
bin1001110001010111100…
…10001100010001111000
31012002121102212010012011
410320223302030101320
521000044424324442
6414123204455304
733154000066330
oct4705362142170
91162542763164
10335742026872
1111a42969208a
125509b3aa534
13258779b7c35
14123700060c0
158b00464117
hex4e2bc8c478

335742026872 has 64 divisors (see below), whose sum is σ = 733825267200. Its totient is φ = 141019781760.

The previous prime is 335742026861. The next prime is 335742026899. The reversal of 335742026872 is 278620247533.

It is a super-2 number, since 2×3357420268722 (a number of 24 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 15 ways as a sum of consecutive naturals, for example, 2666047 + ... + 2789137.

It is an arithmetic number, because the mean of its divisors is an integer number (11466019800).

Almost surely, 2335742026872 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 335742026872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366912633600).

335742026872 is an abundant number, since it is smaller than the sum of its proper divisors (398083240328).

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

335742026872 is a wasteful number, since it uses less digits than its factorization.

335742026872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124076 (or 124072 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 335742026872 in words is "three hundred thirty-five billion, seven hundred forty-two million, twenty-six thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 371 424 742 919 1484 1838 2968 3676 6433 7352 12866 25732 48707 51464 97414 123091 194828 246182 340949 389656 492364 681898 861637 984728 1363796 1723274 2727592 3446548 6523823 6893096 13047646 26095292 45666761 52190584 91333522 113120629 182667044 226241258 365334088 452482516 791844403 904965032 1583688806 3167377612 5995393337 6334755224 11990786674 23981573348 41967753359 47963146696 83935506718 167871013436 335742026872