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4532939064900 = 223252709692
BaseRepresentation
bin100000111110110100000…
…1110010000011001000100
3121001100022022120021122100
41001331220032100121010
51043231424400034100
613350223051432100
7645331312213611
oct101755016203104
917040268507570
104532939064900
111498454a24054
12612620155630
1326b5ba1a934c
14119577071508
157cda3771400
hex41f68390644

4532939064900 has 81 divisors (see below), whose sum is σ = 14208445875351. Its totient is φ = 1208766718080.

The previous prime is 4532939064877. The next prime is 4532939064911. The reversal of 4532939064900 is 94609392354.

The square root of 4532939064900 is 2129070.

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

4532939064900 is a `hidden beast` number, since 45 + 3 + 29 + 3 + 90 + 6 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1638394880004 + 2894544184896 = 1279998^2 + 1701336^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63836616 + ... + 63907584.

Almost surely, 24532939064900 is an apocalyptic number.

4532939064900 is the 2129070-th square number.

It is an amenable number.

4532939064900 is an abundant number, since it is smaller than the sum of its proper divisors (9675506810451).

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

4532939064900 is an frugal number, since it uses more digits than its factorization.

4532939064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141958 (or 70979 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 4532939064900 in words is "four trillion, five hundred thirty-two billion, nine hundred thirty-nine million, sixty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 70969 141938 212907 283876 354845 425814 638721 709690 851628 1064535 1277442 1419380 1774225 2129070 2554884 3193605 3548450 4258140 5322675 6387210 7096900 10645350 12774420 15968025 21290700 31936050 63872100 5036598961 10073197922 15109796883 20146395844 25182994805 30219593766 45329390649 50365989610 60439187532 75548984415 90658781298 100731979220 125914974025 151097968830 181317562596 226646953245 251829948050 302195937660 377744922075 453293906490 503659896100 755489844150 906587812980 1133234766225 1510979688300 2266469532450 4532939064900