Search a number
-
+
146364532100520 = 23356078232006677
BaseRepresentation
bin100001010001111000100101…
…111100011000110110101000
3201012020022102220020111010120
4201101320211330120312220
5123141014030204204040
61235142534322043240
742554326356365436
oct4121704574306650
9635208386214116
10146364532100520
11426aa938723178
12144ba5157a9520
136389168261b56
14282011c975d56
1511dc4261b57d0
hex851e25f18da8

146364532100520 has 64 divisors (see below), whose sum is σ = 439094537521920. Its totient is φ = 39030458229504.

The previous prime is 146364532100489. The next prime is 146364532100557. The reversal of 146364532100520 is 25001235463641.

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, 71935422 + ... + 73942098.

It is an arithmetic number, because the mean of its divisors is an integer number (6860852148780).

Almost surely, 2146364532100520 is an apocalyptic number.

146364532100520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146364532100520 is an abundant number, since it is smaller than the sum of its proper divisors (292730005421400).

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

146364532100520 is a wasteful number, since it uses less digits than its factorization.

146364532100520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614514 (or 2614510 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 146364532100520 in words is "one hundred forty-six trillion, three hundred sixty-four billion, five hundred thirty-two million, one hundred thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 607823 1215646 1823469 2006677 2431292 3039115 3646938 4013354 4862584 6020031 6078230 7293876 8026708 9117345 10033385 12040062 12156460 14587752 16053416 18234690 20066770 24080124 24312920 30100155 36469380 40133540 48160248 60200310 72938760 80267080 120400620 240801240 1219704434171 2439408868342 3659113302513 4878817736684 6098522170855 7318226605026 9757635473368 12197044341710 14636453210052 18295566512565 24394088683420 29272906420104 36591133025130 48788177366840 73182266050260 146364532100520