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764014276140 = 2235412111471919
BaseRepresentation
bin10110001111000101100…
…11001010111000101100
32201001001110122120010020
423013202303022320230
5100004200123314030
61342552221242140
7106124662124133
oct13074263127054
92631043576106
10764014276140
11275020160845
121040a2a03350
135707a77684b
1428d9ad8691a
1514d18e50510
hexb1e2ccae2c

764014276140 has 96 divisors (see below), whose sum is σ = 2201803914240. Its totient is φ = 197825779200.

The previous prime is 764014276111. The next prime is 764014276183. The reversal of 764014276140 is 41672410467.

764014276140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 764014276092 and 764014276101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216900 + ... + 1255019.

It is an arithmetic number, because the mean of its divisors is an integer number (22935457440).

Almost surely, 2764014276140 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 764014276140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100901957120).

764014276140 is an abundant number, since it is smaller than the sum of its proper divisors (1437789638100).

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

764014276140 is a wasteful number, since it uses less digits than its factorization.

764014276140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472183 (or 1472181 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 764014276140 in words is "seven hundred sixty-four billion, fourteen million, two hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 211 246 410 422 492 615 633 820 844 1055 1230 1266 2110 2460 2532 3165 4220 6330 8651 12660 17302 25953 34604 43255 51906 86510 103812 129765 173020 259530 519060 1471919 2943838 4415757 5887676 7359595 8831514 14719190 17663028 22078785 29438380 44157570 60348679 88315140 120697358 181046037 241394716 301743395 310574909 362092074 603486790 621149818 724184148 905230185 931724727 1206973580 1242299636 1552874545 1810460370 1863449454 3105749090 3620920740 3726898908 4658623635 6211498180 9317247270 12733571269 18634494540 25467142538 38200713807 50934285076 63667856345 76401427614 127335712690 152802855228 191003569035 254671425380 382007138070 764014276140