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45872905886116 = 2241215125472
BaseRepresentation
bin10100110111000100111100…
…10000101001100110100100
320000102101222200110121221121
422123202132100221212210
522003040202401323431
6241321415543223324
712443131241314561
oct1233423620514644
9200371880417847
1045872905886116
1113686654517671
12518a587447b44
131c79a47aa497a
14b48390b07868
155483d5ee4611
hex29b89e4299a4

45872905886116 has 81 divisors (see below), whose sum is σ = 82983568719681. Its totient is φ = 22188197304000.

The previous prime is 45872905886021. The next prime is 45872905886147. The reversal of 45872905886116 is 61168850927854.

The square root of 45872905886116 is 6772954.

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

It can be written as a sum of positive squares in only one way, i.e., 2210413668516 + 43662492217600 = 1486746^2 + 6607760^2 .

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, 83862716155 + ... + 83862716701.

Almost surely, 245872905886116 is an apocalyptic number.

45872905886116 is the 6772954-th square number.

It is an amenable number.

45872905886116 is a deficient number, since it is larger than the sum of its proper divisors (37110662833565).

45872905886116 is an frugal number, since it uses more digits than its factorization.

45872905886116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 232243200, while the sum is 70.

The spelling of 45872905886116 in words is "forty-five trillion, eight hundred seventy-two billion, nine hundred five million, eight hundred eighty-six thousand, one hundred sixteen".

Divisors: 1 2 4 41 82 151 164 302 547 604 1094 1681 2188 3362 6191 6724 12382 22427 22801 24764 44854 45602 82597 89708 91204 165194 253831 299209 330388 507662 598418 919507 934841 1015324 1196836 1839014 1869682 3386477 3678028 3739364 6772954 12267569 12472147 13545908 24535138 24944294 38328481 45180559 49070276 49888588 76656962 90361118 138845557 153313924 180722236 277691114 502970329 511358027 555382228 1005940658 1022716054 1852402919 2011881316 2045432108 3704805838 6822264409 7409611676 13644528818 20965679107 27289057636 41931358214 75948519679 83862716428 151897039358 279712840769 303794078716 559425681538 1118851363076 11468226471529 22936452943058 45872905886116