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11452010364 = 223456962119
BaseRepresentation
bin10101010101001011…
…11100111101111100
31002120002222101220000
422222211330331330
5141423203312424
65132212154300
7553535324214
oct125245747574
932502871800
1011452010364
1149473a7983
122277308990
1311067793c2
147a8d33244
154705c83c9
hex2aa97cf7c

11452010364 has 60 divisors (see below), whose sum is σ = 29990914800. Its totient is φ = 3810566592.

The previous prime is 11452010327. The next prime is 11452010369. The reversal of 11452010364 is 46301025411.

It is a happy number.

It is a super-2 number, since 2×114520103642 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452010369) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153297 + ... + 215415.

It is an arithmetic number, because the mean of its divisors is an integer number (499848580).

Almost surely, 211452010364 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 11452010364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995457400).

11452010364 is an abundant number, since it is smaller than the sum of its proper divisors (18538904436).

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

11452010364 is a wasteful number, since it uses less digits than its factorization.

11452010364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62704 (or 62693 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11452010364 its reverse (46301025411), we get a palindrome (57753035775).

The spelling of 11452010364 in words is "eleven billion, four hundred fifty-two million, ten thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 569 1138 1707 2276 3414 5121 6828 10242 15363 20484 30726 46089 61452 62119 92178 124238 184356 186357 248476 372714 559071 745428 1118142 1677213 2236284 3354426 5031639 6708852 10063278 20126556 35345711 70691422 106037133 141382844 212074266 318111399 424148532 636222798 954334197 1272445596 1908668394 2863002591 3817336788 5726005182 11452010364