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10948972671 = 3271373367499
BaseRepresentation
bin10100011001001110…
…00001000001111111
31001021001102102220100
422030213001001333
5134410414111141
65010242252143
7535216506060
oct121447010177
931231372810
1010948972671
11470945624a
122156957053
13105649c770
1475c1ca567
154413600b6
hex28c9c107f

10948972671 has 96 divisors (see below), whose sum is σ = 19824896000. Its totient is φ = 5669263872.

The previous prime is 10948972669. The next prime is 10948972673. The reversal of 10948972671 is 17627984901.

It is an interprime number because it is at equal distance from previous prime (10948972669) and next prime (10948972673).

It is not a de Polignac number, because 10948972671 - 21 = 10948972669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948972673) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21941580 + ... + 21942078.

Almost surely, 210948972671 is an apocalyptic number.

10948972671 is a deficient number, since it is larger than the sum of its proper divisors (8875923329).

10948972671 is a wasteful number, since it uses less digits than its factorization.

10948972671 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 10948972671 in words is "ten billion, nine hundred forty-eight million, nine hundred seventy-two thousand, six hundred seventy-one".

Divisors: 1 3 7 9 13 21 39 63 73 91 117 219 273 367 499 511 657 819 949 1101 1497 1533 2569 2847 3303 3493 4491 4599 4771 6487 6643 7707 8541 10479 14313 19461 19929 23121 26791 31437 33397 36427 42939 45409 58383 59787 80373 100191 109281 136227 183133 187537 241119 254989 300573 327843 348283 408681 473551 549399 562611 764967 1044849 1281931 1420653 1648197 1687833 2294901 2380729 2437981 3134547 3314857 3845793 4261959 7142187 7313943 9944571 11537379 13368709 16665103 21426561 21941829 29833713 40106127 49995309 93580963 120318381 149985927 173793217 280742889 521379651 842228667 1216552519 1564138953 3649657557 10948972671