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83361438540 = 223251013945677
BaseRepresentation
bin100110110100010111…
…0101001101101001100
321222011121020211210200
41031220232221231030
52331211012013130
6102143512533500
76010526351652
oct1155056515514
9258147224720
1083361438540
11323983a4666
12141a56b1290
137b26678ac3
14406b388dd2
15227d65a760
hex1368ba9b4c

83361438540 has 72 divisors (see below), whose sum is σ = 252893506320. Its totient is φ = 22227037824.

The previous prime is 83361438539. The next prime is 83361438547. The reversal of 83361438540 is 4583416338.

83361438540 is a `hidden beast` number, since 8 + 3 + 3 + 61 + 43 + 8 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (83361438547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1802182 + ... + 1847858.

It is an arithmetic number, because the mean of its divisors is an integer number (3512409810).

Almost surely, 283361438540 is an apocalyptic number.

It is an amenable number.

83361438540 is an abundant number, since it is smaller than the sum of its proper divisors (169532067780).

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

83361438540 is a wasteful number, since it uses less digits than its factorization.

83361438540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55831 (or 55826 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 83361438540 in words is "eighty-three billion, three hundred sixty-one million, four hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 10139 20278 30417 40556 45677 50695 60834 91251 91354 101390 121668 137031 152085 182502 182708 202780 228385 274062 304170 365004 411093 456255 456770 548124 608340 685155 822186 912510 913540 1370310 1644372 1825020 2055465 2740620 4110930 8221860 463119103 926238206 1389357309 1852476412 2315595515 2778714618 4168071927 4631191030 5557429236 6946786545 8336143854 9262382060 13893573090 16672287708 20840359635 27787146180 41680719270 83361438540