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7434674144 = 25614318837
BaseRepresentation
bin1101110110010010…
…00001111111100000
3201012010122120121122
412323021001333200
5110211234033034
63225422511412
7352144454552
oct67311017740
921163576548
107434674144
1131757527a7
121535a35568
13916397b91
145075894d2
152d7a7b62e
hex1bb241fe0

7434674144 has 48 divisors (see below), whose sum is σ = 14913170496. Its totient is φ = 3647500800.

The previous prime is 7434674131. The next prime is 7434674153. The reversal of 7434674144 is 4414764347.

It is a junction number, because it is equal to n+sod(n) for n = 7434674095 and 7434674104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 836894 + ... + 845730.

It is an arithmetic number, because the mean of its divisors is an integer number (310691052).

Almost surely, 27434674144 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 7434674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7456585248).

7434674144 is an abundant number, since it is smaller than the sum of its proper divisors (7478496352).

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

7434674144 is a wasteful number, since it uses less digits than its factorization.

7434674144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9339 (or 9331 counting only the distinct ones).

The product of its digits is 903168, while the sum is 44.

The square root of 7434674144 is about 86224.5565021937. The cubic root of 7434674144 is about 1951.7340826287.

The spelling of 7434674144 in words is "seven billion, four hundred thirty-four million, six hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 122 244 431 488 862 976 1724 1952 3448 6896 8837 13792 17674 26291 35348 52582 70696 105164 141392 210328 282784 420656 539057 841312 1078114 2156228 3808747 4312456 7617494 8624912 15234988 17249824 30469976 60939952 121879904 232333567 464667134 929334268 1858668536 3717337072 7434674144