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11601817020144 = 24331317311941333
BaseRepresentation
bin1010100011010100001000…
…1011101010011011110000
31112002010022120112220212000
42220311002023222123300
53010041010124121034
640401445014534000
72305126561354221
oct250650213523360
945063276486760
1011601817020144
11377333728164a
121374615067300
1366207b6505c0
142c1760c83248
15151bcace3599
hexa8d422ea6f0

11601817020144 has 160 divisors (see below), whose sum is σ = 36070471133760. Its totient is φ = 3549154931712.

The previous prime is 11601817020107. The next prime is 11601817020173. The reversal of 11601817020144 is 44102071810611.

It is a happy number.

11601817020144 is a `hidden beast` number, since 1 + 1 + 601 + 8 + 1 + 7 + 0 + 2 + 0 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11601817020099 and 11601817020108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4999099 + ... + 6942234.

It is an arithmetic number, because the mean of its divisors is an integer number (225440444586).

Almost surely, 211601817020144 is an apocalyptic number.

It is an amenable number.

11601817020144 is an abundant number, since it is smaller than the sum of its proper divisors (24468654113616).

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

11601817020144 is a wasteful number, since it uses less digits than its factorization.

11601817020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11941536 (or 11941524 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

Adding to 11601817020144 its reverse (44102071810611), we get a palindrome (55703888830755).

The spelling of 11601817020144 in words is "eleven trillion, six hundred one billion, eight hundred seventeen million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 173 208 216 234 312 346 351 432 468 519 624 692 702 936 1038 1384 1404 1557 1872 2076 2249 2768 2808 3114 4152 4498 4671 5616 6228 6747 8304 8996 9342 12456 13494 17992 18684 20241 24912 26988 35984 37368 40482 53976 60723 74736 80964 107952 121446 161928 242892 323856 485784 971568 11941333 23882666 35823999 47765332 71647998 95530664 107471997 143295996 155237329 191061328 214943994 286591992 310474658 322415991 429887988 465711987 573183984 620949316 644831982 859775976 931423974 1241898632 1289663964 1397135961 1719551952 1862847948 2065850609 2483797264 2579327928 2794271922 3725695896 4131701218 4191407883 5158655856 5588543844 6197551827 7451391792 8263402436 8382815766 11177087688 12395103654 16526804872 16765631532 18592655481 22354175376 24790207308 26856057917 33053609744 33531263064 37185310962 49580414616 53712115834 55777966443 67062526128 74370621924 80568173751 99160829232 107424231668 111555932886 148741243848 161136347502 214848463336 223111865772 241704521253 297482487696 322272695004 429696926672 446223731544 483409042506 644545390008 725113563759 892447463088 966818085012 1289090780016 1450227127518 1933636170024 2900454255036 3867272340048 5800908510072 11601817020144