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70406744768 = 2623125937991
BaseRepresentation
bin100000110010010010…
…0011010101011000000
320201201202201012210122
41001210210122223000
52123143111313033
652202220515412
75041513312313
oct1014444325300
9221652635718
1070406744768
112794a854478
121178b0abb68
1368407aac29
14359ca5497a
151c711a7a98
hex106491aac0

70406744768 has 56 divisors (see below), whose sum is σ = 145907516160. Its totient is φ = 33645159680.

The previous prime is 70406744767. The next prime is 70406744773. The reversal of 70406744768 is 86744760407.

It is a happy number.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (70406744767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1834253 + ... + 1872243.

It is an arithmetic number, because the mean of its divisors is an integer number (2605491360).

Almost surely, 270406744768 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 70406744768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72953758080).

70406744768 is an abundant number, since it is smaller than the sum of its proper divisors (75500771392).

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

70406744768 is a wasteful number, since it uses less digits than its factorization.

70406744768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39285 (or 39275 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 53.

The spelling of 70406744768 in words is "seventy billion, four hundred six million, seven hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1259 1472 2518 5036 10072 20144 28957 37991 40288 57914 75982 80576 115828 151964 231656 303928 463312 607856 873793 926624 1215712 1747586 1853248 2431424 3495172 6990344 13980688 27961376 47830669 55922752 95661338 191322676 382645352 765290704 1100105387 1530581408 2200210774 3061162816 4400421548 8800843096 17601686192 35203372384 70406744768