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11391140992 = 277115931949
BaseRepresentation
bin10101001101111011…
…10000010010000000
31002101212102220210211
422212331300102000
5141312113002432
65122155403504
7552166046410
oct124675602200
932355386724
1011391140992
114916002910
12225aa53594
1310c6c8681a
147a0c0a640
1546a0a2d47
hex2a6f70480

11391140992 has 128 divisors (see below), whose sum is σ = 28355184000. Its totient is φ = 4428349440.

The previous prime is 11391140963. The next prime is 11391141007. The reversal of 11391140992 is 29904119311.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5843634 + ... + 5845582.

It is an arithmetic number, because the mean of its divisors is an integer number (221524875).

Almost surely, 211391140992 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 11391140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177592000).

11391140992 is an abundant number, since it is smaller than the sum of its proper divisors (16964043008).

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

11391140992 is a wasteful number, since it uses less digits than its factorization.

11391140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 40.

The spelling of 11391140992 in words is "eleven billion, three hundred ninety-one million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 593 616 704 896 1186 1232 1408 1949 2372 2464 3898 4151 4744 4928 6523 7796 8302 9488 9856 13046 13643 15592 16604 18976 21439 26092 27286 31184 33208 37952 42878 45661 52184 54572 62368 66416 75904 85756 91322 104368 109144 124736 132832 150073 171512 182644 208736 218288 249472 265664 300146 343024 365288 417472 436576 531328 600292 686048 730576 834944 873152 1155757 1200584 1372096 1461152 1746304 2311514 2401168 2744192 2922304 4623028 4802336 5844608 8090299 9246056 9604672 12713327 16180598 18492112 19209344 25426654 32361196 36984224 50853308 64722392 73968448 88993289 101706616 129444784 147936896 177986578 203413232 258889568 355973156 406826464 517779136 711946312 813652928 1035558272 1423892624 1627305856 2847785248 5695570496 11391140992