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991948273156 = 223724323132
BaseRepresentation
bin11100110111101001011…
…10010111011000000100
310111211101120200022200201
432123310232113120010
5112223002224220111
62035410022020244
7131444255126521
oct16336456273004
93454346608621
10991948273156
11352756a38395
121402b5577684
1372704114329
1436020d56148
151ac0994e6c1
hexe6f4b97604

991948273156 has 81 divisors (see below), whose sum is σ = 1832403682431. Its totient is φ = 469840984704.

The previous prime is 991948273153. The next prime is 991948273231. The reversal of 991948273156 is 651372849199.

The square root of 991948273156 is 995966.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 60877666756 + 931070606400 = 246734^2 + 964920^2 .

It is a super-2 number, since 2×9919482731562 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (991948273153) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3169163656 + ... + 3169163968.

Almost surely, 2991948273156 is an apocalyptic number.

991948273156 is the 995966-th square number.

It is an amenable number.

991948273156 is a deficient number, since it is larger than the sum of its proper divisors (840455409275).

991948273156 is an equidigital number, since it uses as much as digits as its factorization.

991948273156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 64.

Multiplying 991948273156 by its sum of digits (64), we get a square (63484689481984 = 79677282).

The spelling of 991948273156 in words is "nine hundred ninety-one billion, nine hundred forty-eight million, two hundred seventy-three thousand, one hundred fifty-six".

Divisors: 1 2 4 37 43 74 86 148 172 313 626 1252 1369 1591 1849 2738 3182 3698 5476 6364 7396 11581 13459 23162 26918 46324 53836 58867 68413 97969 117734 136826 195938 235468 273652 391876 428497 497983 578737 856994 995966 1157474 1713988 1991932 2314948 2531281 3624853 4212667 5062562 7249706 8425334 10125124 14499412 16850668 18425371 21413269 36850742 42826538 73701484 85653076 134119561 155868679 181144681 268239122 311737358 362289362 536478244 623474716 724578724 792290953 1584581906 3169163812 5767141123 6702353197 11534282246 13404706394 23068564492 26809412788 247987068289 495974136578 991948273156