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2406042062064 = 243283919914929
BaseRepresentation
bin100011000000110011010…
…010000100110011110000
322112000102012121202221100
4203000303102010303300
5303410033231441224
65041153115324400
7335554652041254
oct43006322046360
98460365552840
102406042062064
11848440022903
1232a382750700
13145b728a7764
148464b290264
15428c006bac9
hex23033484cf0

2406042062064 has 60 divisors (see below), whose sum is σ = 6741602103600. Its totient is φ = 801058063872.

The previous prime is 2406042062029. The next prime is 2406042062071. The reversal of 2406042062064 is 4602602406042.

2406042062064 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 0 + 4 + 20 + 620 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9836649 + ... + 10078280.

It is an arithmetic number, because the mean of its divisors is an integer number (112360035060).

Almost surely, 22406042062064 is an apocalyptic number.

2406042062064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2406042062064 is an abundant number, since it is smaller than the sum of its proper divisors (4335560041536).

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

2406042062064 is a wasteful number, since it uses less digits than its factorization.

2406042062064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19915782 (or 19915773 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2406042062064 in words is "two trillion, four hundred six billion, forty-two million, sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 839 1678 2517 3356 5034 6712 7551 10068 13424 15102 20136 30204 40272 60408 120816 19914929 39829858 59744787 79659716 119489574 159319432 179234361 238979148 318638864 358468722 477958296 716937444 955916592 1433874888 2867749776 16708625431 33417250862 50125876293 66834501724 100251752586 133669003448 150377628879 200503505172 267338006896 300755257758 401007010344 601510515516 802014020688 1203021031032 2406042062064