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11044003201152 = 273231740171861
BaseRepresentation
bin1010000010110110000111…
…1000110100000010000000
31110002210111120102220102020
42200231201320310002000
52421421104304414102
635253313420521440
72216621460212445
oct240554170640200
943083446386366
1011044003201152
11357880a988259
1212a449a3b0280
136215a297909c
142a276568b9cc
1514242e849bbc
hexa0b61e34080

11044003201152 has 128 divisors (see below), whose sum is σ = 30613280987520. Its totient is φ = 3521025024000.

The previous prime is 11044003201109. The next prime is 11044003201157. The reversal of 11044003201152 is 25110230044011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11044003201157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153649702 + ... + 153721562.

It is an arithmetic number, because the mean of its divisors is an integer number (239166257715).

Almost surely, 211044003201152 is an apocalyptic number.

11044003201152 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 11044003201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15306640493760).

11044003201152 is an abundant number, since it is smaller than the sum of its proper divisors (19569277786368).

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

11044003201152 is a wasteful number, since it uses less digits than its factorization.

11044003201152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89302 (or 89290 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11044003201152 its reverse (25110230044011), we get a palindrome (36154233245163).

The spelling of 11044003201152 in words is "eleven trillion, forty-four billion, three million, two hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 8832 17401 34802 52203 69604 71861 104406 139208 143722 208812 215583 278416 287444 400223 417624 431166 556832 574888 800446 835248 862332 1113664 1149776 1200669 1600892 1652803 1670496 1724664 2227328 2299552 2401338 3201784 3305606 3340992 3449328 4599104 4802676 4958409 6403568 6611212 6681984 6898656 9198208 9605352 9916818 12807136 13222424 13797312 19210704 19833636 25614272 26444848 27594624 38421408 39667272 51228544 52889696 76842816 79334544 105779392 153685632 158669088 211558784 317338176 634676352 1250453261 2500906522 3751359783 5001813044 7502719566 10003626088 15005439132 20007252176 28760425003 30010878264 40014504352 57520850006 60021756528 80029008704 86281275009 115041700012 120043513056 160058017408 172562550018 230083400024 240087026112 345125100036 460166800048 480174052224 690250200072 920333600096 1380500400144 1840667200192 2761000800288 3681334400384 5522001600576 11044003201152