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706042125540 = 2232513099299447
BaseRepresentation
bin10100100011000110110…
…00111101110011100100
32111111102021211011210100
422101203120331303210
543031433241004130
61300203513024100
7102003245021613
oct12214330756344
92444367734710
10706042125540
11252481411a84
12b4a040b5030
135176c194b5b
142625b95b87a
1513574761c60
hexa46363dce4

706042125540 has 72 divisors (see below), whose sum is σ = 2141831764800. Its totient is φ = 188262897984.

The previous prime is 706042125499. The next prime is 706042125541. The reversal of 706042125540 is 45521240607.

It is a happy number.

706042125540 is a `hidden beast` number, since 7 + 0 + 60 + 42 + 1 + 2 + 554 + 0 = 666.

706042125540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7060421255402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 706042125495 and 706042125504.

It is not an unprimeable number, because it can be changed into a prime (706042125541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2208097 + ... + 2507543.

It is an arithmetic number, because the mean of its divisors is an integer number (29747663400).

Almost surely, 2706042125540 is an apocalyptic number.

It is an amenable number.

706042125540 is an abundant number, since it is smaller than the sum of its proper divisors (1435789639260).

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

706042125540 is a wasteful number, since it uses less digits than its factorization.

706042125540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312561 (or 312556 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 706042125540 in words is "seven hundred six billion, forty-two million, one hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 13099 26198 39297 52396 65495 78594 117891 130990 157188 196485 235782 261980 299447 392970 471564 589455 598894 785940 898341 1178910 1197788 1497235 1796682 2357820 2695023 2994470 3593364 4491705 5390046 5988940 8983410 10780092 13475115 17966820 26950230 53900460 3922456253 7844912506 11767368759 15689825012 19612281265 23534737518 35302106277 39224562530 47069475036 58836843795 70604212554 78449125060 117673687590 141208425108 176510531385 235347375180 353021062770 706042125540