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10948196156256 = 253312671523329
BaseRepresentation
bin1001111101010001001101…
…0101111100001101100000
31102202122012121120202021000
42133110103111330031200
52413333401204000011
635141310515232000
72206660335604032
oct237242325741540
942678177522230
1010948196156256
113541116347407
121289a008a8600
13615544a49888
1429bc7744bc52
1513ebc379c356
hex9f51357c360

10948196156256 has 48 divisors (see below), whose sum is σ = 31932238791600. Its totient is φ = 3649398718464.

The previous prime is 10948196156243. The next prime is 10948196156257. The reversal of 10948196156256 is 65265169184901.

10948196156256 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 8 + 1 + 9 + 61 + 562 + 5 + 6 = 666.

10948196156256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10948196156193 and 10948196156202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10948196156257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6335760801 + ... + 6335762528.

It is an arithmetic number, because the mean of its divisors is an integer number (665254974825).

Almost surely, 210948196156256 is an apocalyptic number.

10948196156256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10948196156256 is an abundant number, since it is smaller than the sum of its proper divisors (20984042635344).

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

10948196156256 is a wasteful number, since it uses less digits than its factorization.

10948196156256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12671523348 (or 12671523334 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 10948196156256 in words is "ten trillion, nine hundred forty-eight billion, one hundred ninety-six million, one hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 12671523329 25343046658 38014569987 50686093316 76029139974 101372186632 114043709961 152058279948 202744373264 228087419922 304116559896 342131129883 405488746528 456174839844 608233119792 684262259766 912349679688 1216466239584 1368524519532 1824699359376 2737049039064 3649398718752 5474098078128 10948196156256