Search a number
-
+
701868660816 = 24371421148907
BaseRepresentation
bin10100011011010101010…
…00011101100001010000
32111002122102201012110210
422031222220131201100
542444411334121231
61254233425124120
7101464650116151
oct12155250354120
92432572635423
10701868660816
1125072a61a184
12b403a489640
135125564a0bb
1425d83571928
15133cd174a46
hexa36aa1d850

701868660816 has 80 divisors (see below), whose sum is σ = 1839172428288. Its totient is φ = 230601571200.

The previous prime is 701868660803. The next prime is 701868660841. The reversal of 701868660816 is 618066868107.

It is a super-3 number, since 3×7018686608163 (a number of 37 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 14326635 + ... + 14375541.

Almost surely, 2701868660816 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 701868660816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919586214144).

701868660816 is an abundant number, since it is smaller than the sum of its proper divisors (1137303767472).

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

701868660816 is a wasteful number, since it uses less digits than its factorization.

701868660816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53200 (or 53194 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 701868660816 in words is "seven hundred one billion, eight hundred sixty-eight million, six hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 4211 8422 12633 16844 25266 33688 48907 50532 67376 97814 101064 146721 195628 202128 293442 298981 391256 586884 597962 782512 896943 1173768 1195924 1793886 2347536 2391848 3472397 3587772 4783696 6944794 7175544 10417191 13889588 14351088 20834382 27779176 41668764 55558352 83337528 166675056 205947377 411894754 617842131 823789508 1235684262 1647579016 2471368524 3295158032 4942737048 9885474096 14622263767 29244527534 43866791301 58489055068 87733582602 116978110136 175467165204 233956220272 350934330408 701868660816