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4870301679376 = 247226922932
BaseRepresentation
bin100011011011111010010…
…0110011111111100010000
3122020121002200211210002121
41012313310212133330100
51114243334212220001
614205215151224024
71011603421140400
oct106676446377420
918217080753077
104870301679376
111608535369631
12667a92218014
13294362857a53
1412ba1c3aa800
1586a4b0ee6a1
hex46df499ff10

4870301679376 has 135 divisors (see below), whose sum is σ = 11055504495711. Its totient is φ = 2072415459072.

The previous prime is 4870301679349. The next prime is 4870301679443. The reversal of 4870301679376 is 6739761030784.

The square root of 4870301679376 is 2206876.

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 3089136400 + 4867212542976 = 55580^2 + 2206176^2 .

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, 16622189886 + ... + 16622190178.

Almost surely, 24870301679376 is an apocalyptic number.

4870301679376 is the 2206876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4870301679376

4870301679376 is an abundant number, since it is smaller than the sum of its proper divisors (6185202816335).

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

4870301679376 is an frugal number, since it uses more digits than its factorization.

4870301679376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 61.

The spelling of 4870301679376 in words is "four trillion, eight hundred seventy billion, three hundred one million, six hundred seventy-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 269 293 392 538 586 784 1076 1172 1883 2051 2152 2344 3766 4102 4304 4688 7532 8204 13181 14357 15064 16408 26362 28714 30128 32816 52724 57428 72361 78817 85849 105448 114856 144722 157634 171698 210896 229712 289444 315268 343396 506527 551719 578888 600943 630536 686792 1013054 1103438 1157776 1201886 1261072 1373584 2026108 2206876 2403772 3545689 3862033 4052216 4206601 4413752 4807544 7091378 7724066 8104432 8413202 8827504 9615088 14182756 15448132 16826404 21201773 23093381 28365512 30896264 33652808 42403546 46186762 56731024 61792528 67305616 84807092 92373524 148412411 161653667 169614184 184747048 296824822 323307334 339228368 369494096 593649644 646614668 1038886877 1131575669 1187299288 1293229336 2077773754 2263151338 2374598576 2586458672 4155547508 4526302676 6212119489 8311095016 9052605352 12424238978 16622190032 18105210704 24848477956 43484836423 49696955912 86969672846 99393911824 173939345692 304393854961 347878691384 608787709922 695757382768 1217575419844 2435150839688 4870301679376