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10844381345472 = 263356911029321
BaseRepresentation
bin1001110111001110011101…
…1111110111011011000000
31102101201020120200221102000
42131303213133313123000
52410133243111023342
635021501235424000
72166323610352143
oct235634737673300
942351216627360
1010844381345472
113501092614524
121271869455000
1360880bab855c
14296c298c205a
1513c1496bd44c
hex9dce77f76c0

10844381345472 has 112 divisors (see below), whose sum is σ = 31936504783200. Its totient is φ = 3608440565760.

The previous prime is 10844381345437. The next prime is 10844381345557. The reversal of 10844381345472 is 27454318344801.

10844381345472 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 4 + 38 + 134 + 5 + 472 = 666.

It is a super-2 number, since 2×108443813454722 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4531429 + ... + 6497892.

Almost surely, 210844381345472 is an apocalyptic number.

10844381345472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10844381345472 is an abundant number, since it is smaller than the sum of its proper divisors (21092123437728).

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

10844381345472 is a wasteful number, since it uses less digits than its factorization.

10844381345472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11029911 (or 11029895 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

It can be divided in two parts, 1084438 and 1345472, that added together give a triangular number (2429910 = T2204).

The spelling of 10844381345472 in words is "ten trillion, eight hundred forty-four billion, three hundred eighty-one million, three hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 569 576 864 1138 1707 1728 2276 3414 4552 5121 6828 9104 10242 13656 15363 18208 20484 27312 30726 36416 40968 54624 61452 81936 109248 122904 163872 245808 327744 491616 983232 11029321 22058642 33087963 44117284 66175926 88234568 99263889 132351852 176469136 198527778 264703704 297791667 352938272 397055556 529407408 595583334 705876544 794111112 1058814816 1191166668 1588222224 2117629632 2382333336 3176444448 4764666672 6275683649 6352888896 9529333344 12551367298 18827050947 19058666688 25102734596 37654101894 50205469192 56481152841 75308203788 100410938384 112962305682 150616407576 169443458523 200821876768 225924611364 301232815152 338886917046 401643753536 451849222728 602465630304 677773834092 903698445456 1204931260608 1355547668184 1807396890912 2711095336368 3614793781824 5422190672736 10844381345472