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11023223375376 = 243233728212
BaseRepresentation
bin1010000001101000101101…
…0100000100011000010000
31110000210212101112101022100
42200122023110010120100
52421101030141003001
635235555433040400
72215254515465142
oct240321324043020
943023771471270
1011023223375376
11356aa17247623
1212a045b256100
1361c6408630a4
142a17539acc92
15141b153de586
hexa068b504610

11023223375376 has 135 divisors (see below), whose sum is σ = 30979262755623. Its totient is φ = 3659042257920.

The previous prime is 11023223375369. The next prime is 11023223375377. The reversal of 11023223375376 is 67357332232011.

The square root of 11023223375376 is 3320124.

It is a perfect power (a square), and thus also a powerful number.

11023223375376 is a `hidden beast` number, since 1 + 1 + 0 + 23 + 223 + 37 + 5 + 376 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2305234890000 + 8717988485376 = 1518300^2 + 2952624^2 .

It is a super-2 number, since 2×110232233753762 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11023223375377) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13426581046 + ... + 13426581866.

Almost surely, 211023223375376 is an apocalyptic number.

11023223375376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11023223375376 is the 3320124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11023223375376

11023223375376 is an abundant number, since it is smaller than the sum of its proper divisors (19956039380247).

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

11023223375376 is an frugal number, since it uses more digits than its factorization.

11023223375376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 11023223375376 in words is "eleven trillion, twenty-three billion, two hundred twenty-three million, three hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 821 1011 1348 1642 2022 2463 2696 3033 3284 4044 4926 5392 6066 6568 7389 8088 9852 12132 13136 14778 16176 19704 24264 29556 39408 48528 59112 113569 118224 227138 276677 340707 454276 553354 674041 681414 830031 908552 1022121 1106708 1348082 1362828 1660062 1817104 2022123 2044242 2213416 2490093 2696164 2725656 3320124 4044246 4088484 4426832 4980186 5392328 5451312 6066369 6640248 8088492 8176968 9960372 10784656 12132738 13280496 16176984 16353936 19920744 24265476 32353968 39841488 48530952 93240149 97061904 186480298 227151817 279720447 372960596 454303634 559440894 681455451 745921192 839161341 908607268 1118881788 1362910902 1491842384 1678322682 1817214536 2044366353 2237763576 2725821804 3356645364 3634429072 4088732706 4475527152 5451643608 6713290728 8177465412 10903287216 13426581456 16354930824 32709861648 76550162329 153100324658 229650486987 306200649316 459300973974 612401298632 688951460961 918601947948 1224802597264 1377902921922 1837203895896 2755805843844 3674407791792 5511611687688 11023223375376