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11157333016632 = 23311132619318677
BaseRepresentation
bin1010001001011100010011…
…0111110000000000111000
31110111122000201111000220120
42202113010313300000320
52430300204223013012
635421335200053240
72231043053564655
oct242270467600070
943448021430816
1011157333016632
113611886686a90
121302448304220
1362c193c972ba
142a8036bacc2c
15145363e3458c
hexa25c4df0038

11157333016632 has 64 divisors (see below), whose sum is σ = 30429414979200. Its totient is φ = 3380973901440.

The previous prime is 11157333016597. The next prime is 11157333016639. The reversal of 11157333016632 is 23661033375111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11157333016639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34852078 + ... + 35170754.

It is an arithmetic number, because the mean of its divisors is an integer number (475459609050).

Almost surely, 211157333016632 is an apocalyptic number.

11157333016632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11157333016632 is an abundant number, since it is smaller than the sum of its proper divisors (19272081962568).

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

11157333016632 is a wasteful number, since it uses less digits than its factorization.

11157333016632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451316 (or 451312 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The spelling of 11157333016632 in words is "eleven trillion, one hundred fifty-seven billion, three hundred thirty-three million, sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 132619 265238 318677 397857 530476 637354 795714 956031 1060952 1274708 1458809 1591428 1912062 2549416 2917618 3182856 3505447 3824124 4376427 5835236 7010894 7648248 8752854 10516341 11670472 14021788 17505708 21032682 28043576 35011416 42065364 84130728 42262625063 84525250126 126787875189 169050500252 253575750378 338101000504 464888875693 507151500756 929777751386 1014303001512 1394666627079 1859555502772 2789333254158 3719111005544 5578666508316 11157333016632