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10643114155104 = 2533112611093901
BaseRepresentation
bin1001101011100000101100…
…0010011101110001100000
31101200110201220222022112000
42122320023002131301200
52343334044210430404
634345213521204000
72145640201434444
oct232701302356140
941613656868460
1010643114155104
1134337a0525462
12123a859490600
135c28450ab1c2
1428b1b53c0824
15136cb9d8a339
hex9ae0b09dc60

10643114155104 has 96 divisors (see below), whose sum is σ = 31045201296480. Its totient is φ = 3547386432000.

The previous prime is 10643114154997. The next prime is 10643114155109. The reversal of 10643114155104 is 40155141134601.

10643114155104 is a `hidden beast` number, since 1 + 0 + 64 + 3 + 1 + 1 + 41 + 551 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106431141551042 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10643114155109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9182554 + ... + 10276454.

It is an arithmetic number, because the mean of its divisors is an integer number (323387513505).

Almost surely, 210643114155104 is an apocalyptic number.

It is an amenable number.

10643114155104 is an abundant number, since it is smaller than the sum of its proper divisors (20402087141376).

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

10643114155104 is a wasteful number, since it uses less digits than its factorization.

10643114155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105181 (or 1105167 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 10643114155104 its reverse (40155141134601), we get a palindrome (50798255289705).

The spelling of 10643114155104 in words is "ten trillion, six hundred forty-three billion, one hundred fourteen million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11261 22522 33783 45044 67566 90088 101349 135132 180176 202698 270264 304047 360352 405396 540528 608094 810792 1081056 1093901 1216188 1621584 2187802 2432376 3243168 3281703 4375604 4864752 6563406 8751208 9729504 9845109 13126812 17502416 19690218 26253624 29535327 35004832 39380436 52507248 59070654 78760872 105014496 118141308 157521744 236282616 315043488 472565232 945130464 12318419161 24636838322 36955257483 49273676644 73910514966 98547353288 110865772449 147821029932 197094706576 221731544898 295642059864 332597317347 394189413152 443463089796 591284119728 665194634694 886926179592 1182568239456 1330389269388 1773852359184 2660778538776 3547704718368 5321557077552 10643114155104