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2121173410032 = 243237357768443
BaseRepresentation
bin11110110111011111110…
…010011010000011110000
321111210010012222212102100
4132313133302122003300
5234223130343110112
64302241551420400
7306151440331665
oct36673762320360
97453105885370
102121173410032
11748648100266
122a3120824700
131250448930b1
14749459a3a6c
153a29aeba2dc
hex1eddfc9a0f0

2121173410032 has 120 divisors (see below), whose sum is σ = 5962657576304. Its totient is φ = 703929802752.

The previous prime is 2121173410019. The next prime is 2121173410093. The reversal of 2121173410032 is 2300143711212.

2121173410032 is a `hidden beast` number, since 2 + 1 + 211 + 7 + 3 + 410 + 0 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2121173409978 and 2121173410005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30957603 + ... + 31026045.

Almost surely, 22121173410032 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 2121173410032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981328788152).

2121173410032 is an abundant number, since it is smaller than the sum of its proper divisors (3841484166272).

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

2121173410032 is a wasteful number, since it uses less digits than its factorization.

2121173410032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69407 (or 69398 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 2121173410032 in words is "two trillion, one hundred twenty-one billion, one hundred seventy-three million, four hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 577 746 1119 1154 1492 1731 2238 2308 2984 3357 3462 4476 4616 5193 5968 6714 6924 8952 9232 10386 13428 13848 17904 20772 26856 27696 41544 53712 68443 83088 136886 205329 215221 273772 410658 430442 547544 615987 645663 821316 860884 1095088 1231974 1291326 1642632 1721768 1936989 2463948 2582652 3285264 3443536 3873978 4927896 5165304 7747956 9855792 10330608 15495912 25529239 30991824 39491611 51058478 76587717 78983222 102116956 118474833 153175434 157966444 204233912 229763151 236949666 306350868 315932888 355424499 408467824 459526302 473899332 612701736 631865776 710848998 919052604 947798664 1225403472 1421697996 1838105208 1895597328 2843395992 3676210416 5686791984 14730370903 29460741806 44191112709 58921483612 88382225418 117842967224 132573338127 176764450836 235685934448 265146676254 353528901672 530293352508 707057803344 1060586705016 2121173410032