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2190723918216 = 2336113671094657
BaseRepresentation
bin11111111000010001010…
…100100010100110001000
321202102122022112202102220
4133320101110202212020
5241343100310340331
64354223224254040
7314163116026611
oct37702124424610
97672568482386
102190723918216
117750985a3499
122b46b1011320
1312b779b5b152
1478062a10c08
153bebbddd296
hex1fe11522988

2190723918216 has 64 divisors (see below), whose sum is σ = 5570670775680. Its totient is φ = 717744046080.

The previous prime is 2190723918209. The next prime is 2190723918217. The reversal of 2190723918216 is 6128193270912.

It is not an unprimeable number, because it can be changed into a prime (2190723918217) 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, 1453960 + ... + 2548616.

It is an arithmetic number, because the mean of its divisors is an integer number (87041730870).

Almost surely, 22190723918216 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 2190723918216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785335387840).

2190723918216 is an abundant number, since it is smaller than the sum of its proper divisors (3379946857464).

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

2190723918216 is a wasteful number, since it uses less digits than its factorization.

2190723918216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096094 (or 1096090 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 2190723918216 in words is "two trillion, one hundred ninety billion, seven hundred twenty-three million, nine hundred eighteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1367 1464 2734 4101 5468 8202 10936 16404 32808 83387 166774 250161 333548 500322 667096 1000644 1094657 2001288 2189314 3283971 4378628 6567942 8757256 13135884 26271768 66774077 133548154 200322231 267096308 400644462 534192616 801288924 1496396119 1602577848 2992792238 4489188357 5985584476 8978376714 11971168952 17956753428 35913506856 91280163259 182560326518 273840489777 365120653036 547680979554 730241306072 1095361959108 2190723918216