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10077180652 = 22721129533041
BaseRepresentation
bin10010110001010010…
…11001001011101100
3222000021222211002001
421120221121023230
5131114224240102
64343540542044
7504502423300
oct113051311354
928007884061
1010077180652
11430133aa80
121b529b1924
13c479a14b6
146b84d3d00
153dea56487
hex258a592ec

10077180652 has 144 divisors (see below), whose sum is σ = 23595455520. Its totient is φ = 3718041600.

The previous prime is 10077180649. The next prime is 10077180679. The reversal of 10077180652 is 25608177001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312252 + ... + 3315292.

It is an arithmetic number, because the mean of its divisors is an integer number (163857330).

Almost surely, 210077180652 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 10077180652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797727760).

10077180652 is an abundant number, since it is smaller than the sum of its proper divisors (13518274868).

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

10077180652 is a wasteful number, since it uses less digits than its factorization.

10077180652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The spelling of 10077180652 in words is "ten billion, seventy-seven million, one hundred eighty thousand, six hundred fifty-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 53 58 77 98 106 116 154 196 203 212 308 319 371 406 539 583 638 742 812 1078 1166 1276 1421 1484 1537 2156 2233 2332 2597 2842 3041 3074 4081 4466 5194 5684 6082 6148 8162 8932 10388 10759 12164 15631 16324 16907 21287 21518 28567 31262 33451 33814 42574 43036 57134 62524 66902 67628 75313 85148 88189 114268 118349 133804 149009 150626 161173 176378 234157 236698 298018 301252 322346 352756 468314 473396 596036 617323 644692 828443 936628 970079 1128211 1234646 1639099 1656886 1772903 1940158 2256422 2469292 3278198 3313772 3545806 3880316 4321261 4512844 4674017 6556396 6790553 7091612 7897477 8642522 9348034 12410321 13581106 15794954 17285044 18696068 24820642 27162212 31589908 32718119 47533871 49641284 51414187 65436238 86872247 95067742 102828374 130872476 173744494 190135484 205656748 229026833 347488988 359899309 458053666 719798618 916107332 1439597236 2519295163 5038590326 10077180652