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2214947245216 = 253129343117681
BaseRepresentation
bin100000001110110101001…
…001001100110010100000
321211202011111000021012011
4200032311021030302200
5242242202443321331
64413311022242304
7316011312641326
oct40166511146240
97752144007164
102214947245216
11784398a81602
122b9331426394
13130b3a4bb334
14792bdb81d16
153c9387e53b1
hex203b524cca0

2214947245216 has 96 divisors (see below), whose sum is σ = 4527442999296. Its totient is φ = 1065552384000.

The previous prime is 2214947245207. The next prime is 2214947245229. The reversal of 2214947245216 is 6125427494122.

It is a self number, because there is not a number n which added to its sum of digits gives 2214947245216.

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, 125263896 + ... + 125281576.

It is an arithmetic number, because the mean of its divisors is an integer number (47160864576).

Almost surely, 22214947245216 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 2214947245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263721499648).

2214947245216 is an abundant number, since it is smaller than the sum of its proper divisors (2312495754080).

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

2214947245216 is a wasteful number, since it uses less digits than its factorization.

2214947245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18446 (or 18438 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

The spelling of 2214947245216 in words is "two trillion, two hundred fourteen billion, nine hundred forty-seven million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 248 293 431 496 586 862 992 1172 1724 2344 3448 4688 6896 9083 9376 13361 13792 17681 18166 26722 35362 36332 53444 70724 72664 106888 126283 141448 145328 213776 252566 282896 290656 427552 505132 548111 565792 1010264 1096222 2020528 2192444 3914773 4041056 4384888 5180533 7620511 7829546 8769776 10361066 15241022 15659092 17539552 20722132 30482044 31318184 41444264 60964088 62636368 82888528 121928176 125272736 160596523 165777056 236235841 243856352 321193046 472471682 642386092 944943364 1284772184 1889886728 2232809723 2569544368 3779773456 4465619446 5139088736 7559546912 8931238892 17862477784 35724955568 69217101413 71449911136 138434202826 276868405652 553736811304 1107473622608 2214947245216