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2424424660064 = 251110876336311
BaseRepresentation
bin100011010001111010111…
…110000111110001100000
322120202212022201111202022
4203101322332013301200
5304210210203110224
65053433150241012
7340105334406401
oct43217276076140
98522768644668
102424424660064
11855213574860
12331a52ab6168
13147812165894
14854b28319a8
15430e8cec65e
hex2347af87c60

2424424660064 has 48 divisors (see below), whose sum is σ = 5211794036736. Its totient is φ = 1100997225600.

The previous prime is 2424424660061. The next prime is 2424424660109. The reversal of 2424424660064 is 4600664244242.

2424424660064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2424424659997 and 2424424660024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424424660061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2785532 + ... + 3550779.

It is an arithmetic number, because the mean of its divisors is an integer number (108579042432).

Almost surely, 22424424660064 is an apocalyptic number.

It is an amenable number.

2424424660064 is an abundant number, since it is smaller than the sum of its proper divisors (2787369376672).

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

2424424660064 is a wasteful number, since it uses less digits than its factorization.

2424424660064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337419 (or 6337411 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 44.

The spelling of 2424424660064 in words is "two trillion, four hundred twenty-four billion, four hundred twenty-four million, six hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1087 2174 4348 8696 11957 17392 23914 34784 47828 95656 191312 382624 6336311 12672622 25345244 50690488 69699421 101380976 139398842 202761952 278797684 557595368 1115190736 2230381472 6887570057 13775140114 27550280228 55100560456 75763270627 110201120912 151526541254 220402241824 303053082508 606106165016 1212212330032 2424424660064