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10702738956 = 22372132948281
BaseRepresentation
bin10011111011110111…
…01101011000001100
31000121220002110202010
421331323231120030
5133404400121311
64530004501220
7526136531400
oct117573553014
930556073663
1010702738956
1145a2465208
1220a83aa810
131017478440
14737611100
15429921da6
hex27deed60c

10702738956 has 144 divisors (see below), whose sum is σ = 32364390240. Its totient is φ = 2725309440.

The previous prime is 10702738913. The next prime is 10702738967. The reversal of 10702738956 is 65983720701.

It is a super-2 number, since 2×107027389562 (a number of 21 digits) contains 22 as substring.

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, 197536 + ... + 245816.

It is an arithmetic number, because the mean of its divisors is an integer number (224752710).

Almost surely, 210702738956 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 10702738956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182195120).

10702738956 is an abundant number, since it is smaller than the sum of its proper divisors (21661651284).

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

10702738956 is a wasteful number, since it uses less digits than its factorization.

10702738956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48344 (or 48335 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 10702738956 in words is "ten billion, seven hundred two million, seven hundred thirty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 29 39 42 49 52 58 78 84 87 91 98 116 147 156 174 182 196 203 273 294 348 364 377 406 546 588 609 637 754 812 1092 1131 1218 1274 1421 1508 1911 2262 2436 2548 2639 2842 3822 4263 4524 5278 5684 7644 7917 8526 10556 15834 17052 18473 31668 36946 48281 55419 73892 96562 110838 144843 193124 221676 289686 337967 579372 627653 675934 1013901 1255306 1351868 1400149 1882959 2027802 2365769 2510612 2800298 3765918 4055604 4200447 4393571 4731538 5600596 7097307 7531836 8400894 8787142 9463076 9801043 13180713 14194614 16801788 17574284 18201937 19602086 26361426 28389228 29403129 30754997 36403874 39204172 52722852 54605811 58806258 61509994 68607301 72807748 92264991 109211622 117612516 123019988 127413559 137214602 184529982 205821903 218423244 254827118 274429204 369059964 382240677 411643806 509654236 764481354 823287612 891894913 1528962708 1783789826 2675684739 3567579652 5351369478 10702738956