Search a number
-
+
1138247055264 = 253113121121629
BaseRepresentation
bin10000100100000100110…
…011111011011110100000
311000211000101122111010010
4100210010303323132200
5122122112221232024
62230523052404520
7145143552222204
oct20440463733640
94024011574103
101138247055264
113a9800874780
12164724776740
138344a934717
143d13cd2ab04
151e91d626b29
hex10904cfb7a0

1138247055264 has 144 divisors (see below), whose sum is σ = 3368066456160. Its totient is φ = 333796492800.

The previous prime is 1138247055263. The next prime is 1138247055301. The reversal of 1138247055264 is 4625507428311.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1138247055263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454002 + ... + 1575630.

It is an arithmetic number, because the mean of its divisors is an integer number (23389350390).

Almost surely, 21138247055264 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 1138247055264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684033228080).

1138247055264 is an abundant number, since it is smaller than the sum of its proper divisors (2229819400896).

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

1138247055264 is a wasteful number, since it uses less digits than its factorization.

1138247055264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121715 (or 1121676 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 1138247055264 in words is "one trillion, one hundred thirty-eight billion, two hundred forty-seven million, fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 961 992 1023 1056 1364 1488 1922 2046 2728 2883 2976 3844 4092 5456 5766 7688 8184 10571 10912 11532 15376 16368 21142 23064 30752 31713 32736 42284 46128 63426 84568 92256 126852 169136 253704 338272 507408 1014816 1121629 2243258 3364887 4486516 6729774 8973032 12337919 13459548 17946064 24675838 26919096 34770499 35892128 37013757 49351676 53838192 69540998 74027514 98703352 104311497 107676384 139081996 148055028 197406704 208622994 278163992 296110056 382475489 394813408 417245988 556327984 592220112 764950978 834491976 1077885469 1112655968 1147426467 1184440224 1529901956 1668983952 2155770938 2294852934 3059803912 3233656407 3337967904 4311541876 4589705868 6119607824 6467312814 8623083752 9179411736 11856740159 12239215648 12934625628 17246167504 18358823472 23713480318 25869251256 34492335008 35570220477 36717646944 47426960636 51738502512 71140440954 94853921272 103477005024 142280881908 189707842544 284561763816 379415685088 569123527632 1138247055264