Search a number
-
+
537642680840 = 23561259384977
BaseRepresentation
bin1111101001011100000…
…00000100001000001000
31220101202020120000202222
413310232000010020020
532302043011241330
61050553432313212
753562200245466
oct7645600041010
91811666500688
10537642680840
11198016305791
1288247542808
133b912a09515
141c0446c1836
15deba6c50e5
hex7d2e004208

537642680840 has 64 divisors (see below), whose sum is σ = 1230015760560. Its totient is φ = 211447480320.

The previous prime is 537642680801. The next prime is 537642680873. The reversal of 537642680840 is 48086246735.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35508879844 + 502133800996 = 188438^2 + 708614^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6284432 + ... + 6369408.

Almost surely, 2537642680840 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 537642680840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615007880280).

537642680840 is an abundant number, since it is smaller than the sum of its proper divisors (692373079720).

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

537642680840 is a wasteful number, since it uses less digits than its factorization.

537642680840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87642 (or 87638 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 537642680840 in words is "five hundred thirty-seven billion, six hundred forty-two million, six hundred eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 2593 5186 10372 12965 20744 25930 51860 84977 103720 158173 169954 316346 339908 424885 632692 679816 790865 849770 1265384 1581730 1699540 3163460 3399080 5183597 6326920 10367194 20734388 25917985 41468776 51835970 103671940 207343880 220345361 440690722 881381444 1101726805 1762762888 2203453610 4406907220 8813814440 13441067021 26882134042 53764268084 67205335105 107528536168 134410670210 268821340420 537642680840