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2163605041152 = 21232131944497
BaseRepresentation
bin11111011111000000111…
…010001111000000000000
321122211122100121001201200
4133133000322033000000
5240422030342304102
64333540232501200
7312213102260232
oct37370072170000
97584570531650
102163605041152
117646417057a5
122ab3a2b4a800
13129047657829
1476a0d0a6252
153b4311c551c
hex1f7c0e8f000

2163605041152 has 156 divisors (see below), whose sum is σ = 6254530304880. Its totient is φ = 720638705664.

The previous prime is 2163605041139. The next prime is 2163605041163. The reversal of 2163605041152 is 2511405063612.

2163605041152 is a `hidden beast` number, since 2 + 1 + 6 + 3 + 605 + 0 + 41 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×21636050411522 (a number of 25 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48601368 + ... + 48645864.

It is an arithmetic number, because the mean of its divisors is an integer number (40093142980).

Almost surely, 22163605041152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2163605041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127265152440).

2163605041152 is an abundant number, since it is smaller than the sum of its proper divisors (4090925263728).

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

2163605041152 is a wasteful number, since it uses less digits than its factorization.

2163605041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45846 (or 45821 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2163605041152 in words is "two trillion, one hundred sixty-three billion, six hundred five million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1319 1536 2048 2304 2638 3072 3957 4096 4608 5276 6144 7914 9216 10552 11871 12288 15828 18432 21104 23742 31656 36864 42208 44497 47484 63312 84416 88994 94968 126624 133491 168832 177988 189936 253248 266982 337664 355976 379872 400473 506496 533964 675328 711952 759744 800946 1012992 1067928 1350656 1423904 1519488 1601892 2025984 2135856 2701312 2847808 3038976 3203784 4051968 4271712 5402624 5695616 6077952 6407568 8103936 8543424 11391232 12155904 12815136 16207872 17086848 22782464 24311808 25630272 34173696 45564928 48623616 51260544 58691543 68347392 91129856 102521088 117383086 136694784 176074629 182259712 205042176 234766172 273389568 352149258 410084352 469532344 528223887 546779136 704298516 820168704 939064688 1056447774 1408597032 1640337408 1878129376 2112895548 2817194064 3756258752 4225791096 5634388128 7512517504 8451582192 11268776256 15025035008 16903164384 22537552512 30050070016 33806328768 45075105024 60100140032 67612657536 90150210048 120200280064 135225315072 180300420096 240400560128 270450630144 360600840192 540901260288 721201680384 1081802520576 2163605041152