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2145185281736 = 2372137215318553
BaseRepresentation
bin11111001101110111000…
…000011011011011001000
321121002002122120100000222
4133031313000123123020
5240121314413003421
64321252353245212
7310661456015600
oct37156700333310
97532078510028
102145185281736
1175784a191932
122a7902263808
131273a0487bc3
1475b82a0dc00
153ac04053cab
hex1f37701b6c8

2145185281736 has 96 divisors (see below), whose sum is σ = 4715507634840. Its totient is φ = 912181358592.

The previous prime is 2145185281711. The next prime is 2145185281753. The reversal of 2145185281736 is 6371825815412.

It can be written as a sum of positive squares in 4 ways, for example, as 899519464900 + 1245665816836 = 948430^2 + 1116094^2 .

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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, 115615436 + ... + 115633988.

Almost surely, 22145185281736 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 2145185281736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357753817420).

2145185281736 is an abundant number, since it is smaller than the sum of its proper divisors (2570322353104).

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

2145185281736 is a wasteful number, since it uses less digits than its factorization.

2145185281736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20863 (or 20852 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 53.

The spelling of 2145185281736 in words is "two trillion, one hundred forty-five billion, one hundred eighty-five million, two hundred eighty-one thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 196 274 392 548 959 1096 1918 2153 3836 4306 6713 7672 8612 13426 15071 17224 18553 26852 30142 37106 53704 60284 74212 105497 120568 129871 148424 210994 259742 294961 421988 519484 589922 843976 909097 1038968 1179844 1818194 2064727 2359688 2541761 3636388 4129454 5083522 7272776 8258908 10167044 14453089 16517816 17792327 20334088 28906178 35584654 39944609 57812356 71169308 79889218 115624712 124546289 142338616 159778436 249092578 279612263 319556872 498185156 559224526 996370312 1118449052 1957285841 2236898104 3914571682 5472411433 7829143364 10944822866 15658286728 21889645732 38306880031 43779291464 76613760062 153227520124 268148160217 306455040248 536296320434 1072592640868 2145185281736