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2250021940672 = 261130748721377
BaseRepresentation
bin100000101111011111110…
…000100010110111000000
321222002200220020102000211
4200233133300202313000
5243331021104100142
64441351254523504
7321362432635552
oct40573760426700
97862626212024
102250021940672
11798257800420
1230409b966594
1313423a035abc
147ac8a1734d2
153d7dcbcc917
hex20bdfc22dc0

2250021940672 has 112 divisors (see below), whose sum is σ = 4896915141888. Its totient is φ = 1017265029120.

The previous prime is 2250021940669. The next prime is 2250021940709. The reversal of 2250021940672 is 2760491200522.

It is a super-3 number, since 3×22500219406723 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105243648 + ... + 105265024.

It is an arithmetic number, because the mean of its divisors is an integer number (43722456624).

Almost surely, 22250021940672 is an apocalyptic number.

2250021940672 is a gapful number since it is divisible by the number (22) 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 2250021940672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448457570944).

2250021940672 is an abundant number, since it is smaller than the sum of its proper divisors (2646893201216).

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

2250021940672 is a wasteful number, since it uses less digits than its factorization.

2250021940672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22194 (or 22184 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 2250021940672 in words is "two trillion, two hundred fifty billion, twenty-one million, nine hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 307 352 487 614 704 974 1228 1948 2456 3377 3896 4912 5357 6754 7792 9824 10714 13508 15584 19648 21377 21428 27016 31168 42754 42856 54032 85508 85712 108064 149509 171016 171424 216128 235147 299018 342032 342848 470294 598036 684064 940588 1196072 1368128 1644599 1881176 2392144 3289198 3762352 4784288 6562739 6578396 7524704 9568576 10410599 13125478 13156792 15049408 20821198 26250956 26313584 41642396 52501912 52627168 72190129 83284792 105003824 105254336 114516589 144380258 166569584 210007648 229033178 288760516 333139168 420015296 458066356 577521032 666278336 916132712 1155042064 1832265424 2310084128 3196053893 3664530848 4620168256 6392107786 7329061696 12784215572 25568431144 35156592823 51136862288 70313185646 102273724576 140626371292 204547449152 281252742584 562505485168 1125010970336 2250021940672