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11438410752 = 210323140037
BaseRepresentation
bin10101010011100100…
…00100110000000000
31002112011101110201200
422221302010300000
5141411213121002
65131004501200
7553311613206
oct125162046000
932464343650
1011438410752
11493a75932a
12227284a800
1311039c72b2
147a71d3076
1546e2ddb1c
hex2a9c84c00

11438410752 has 132 divisors (see below), whose sum is σ = 34094438976. Its totient is φ = 3689717760.

The previous prime is 11438410751. The next prime is 11438410757. The reversal of 11438410752 is 25701483411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11438410751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265678 + ... + 305714.

Almost surely, 211438410752 is an apocalyptic number.

11438410752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11438410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17047219488).

11438410752 is an abundant number, since it is smaller than the sum of its proper divisors (22656028224).

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

11438410752 is a wasteful number, since it uses less digits than its factorization.

11438410752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40094 (or 40073 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11438410752 in words is "eleven billion, four hundred thirty-eight million, four hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 256 279 288 372 384 496 512 558 576 744 768 992 1024 1116 1152 1488 1536 1984 2232 2304 2976 3072 3968 4464 4608 5952 7936 8928 9216 11904 15872 17856 23808 31744 35712 40037 47616 71424 80074 95232 120111 142848 160148 240222 285696 320296 360333 480444 640592 720666 960888 1241147 1281184 1441332 1921776 2482294 2562368 2882664 3723441 3843552 4964588 5124736 5765328 7446882 7687104 9929176 10249472 11170323 11530656 14893764 15374208 19858352 20498944 22340646 23061312 29787528 30748416 39716704 40997888 44681292 46122624 59575056 61496832 79433408 89362584 92245248 119150112 122993664 158866816 178725168 184490496 238300224 317733632 357450336 368980992 476600448 635467264 714900672 953200896 1270934528 1429801344 1906401792 2859602688 3812803584 5719205376 11438410752