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11379865552 = 2411175716661
BaseRepresentation
bin10101001100100101…
…01111011111010000
31002101002020001210221
422212102233133100
5141301221144202
65121114002424
7552001155406
oct124622573720
932332201727
1011379865552
11490a701470
122257116414
1310c4839573
1479d513476
154690c7037
hex2a64af7d0

11379865552 has 80 divisors (see below), whose sum is σ = 25516206144. Its totient is φ = 4859136000.

The previous prime is 11379865531. The next prime is 11379865559. The reversal of 11379865552 is 25556897311.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11379865552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11379865559) 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, 1705102 + ... + 1711762.

Almost surely, 211379865552 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 11379865552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12758103072).

11379865552 is an abundant number, since it is smaller than the sum of its proper divisors (14136340592).

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

11379865552 is a wasteful number, since it uses less digits than its factorization.

11379865552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7268 (or 7262 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 52.

It can be divided in two parts, 1137 and 9865552, that added together give a palindrome (9866689).

The spelling of 11379865552 in words is "eleven billion, three hundred seventy-nine million, eight hundred sixty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 571 748 1142 1496 2284 2992 4568 6281 6661 9136 9707 12562 13322 19414 25124 26644 38828 50248 53288 73271 77656 100496 106576 106777 113237 146542 155312 213554 226474 293084 427108 452948 586168 854216 905896 1172336 1245607 1708432 1811792 2491214 3803431 4982428 7606862 9964856 15213724 19929712 30427448 41837741 60854896 64658327 83675482 129316654 167350964 258633308 334701928 517266616 669403856 711241597 1034533232 1422483194 2844966388 5689932776 11379865552