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2293103030736 = 2437223169918013
BaseRepresentation
bin100001010111100111100…
…101110111000111010000
322010012220021220112112010
4201113213211313013100
5300032233333440421
64513234220102520
7324446142105330
oct41274745670720
98105807815463
102293103030736
11804554974a91
12310503694a40
1313831452217b
147cdb5a150c0
153e9aee25076
hex215e79771d0

2293103030736 has 160 divisors (see below), whose sum is σ = 6804853350400. Its totient is φ = 651814221312.

The previous prime is 2293103030689. The next prime is 2293103030749. The reversal of 2293103030736 is 6370303013922.

It is a junction number, because it is equal to n+sod(n) for n = 2293103030694 and 2293103030703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127293666 + ... + 127311678.

It is an arithmetic number, because the mean of its divisors is an integer number (42530333440).

Almost surely, 22293103030736 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 2293103030736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402426675200).

2293103030736 is an abundant number, since it is smaller than the sum of its proper divisors (4511750319664).

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

2293103030736 is a wasteful number, since it uses less digits than its factorization.

2293103030736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19953 (or 19947 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 39.

The spelling of 2293103030736 in words is "two trillion, two hundred ninety-three billion, one hundred three million, thirty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 223 336 446 669 892 1338 1561 1699 1784 2676 3122 3398 3568 4683 5097 5352 6244 6796 9366 10194 10704 11893 12488 13592 18013 18732 20388 23786 24976 27184 35679 36026 37464 40776 47572 54039 71358 72052 74928 81552 95144 108078 126091 142716 144104 190288 216156 252182 285432 288208 378273 378877 432312 504364 570864 756546 757754 864624 1008728 1136631 1513092 1515508 2017456 2273262 2652139 3026184 3031016 4016899 4546524 5304278 6052368 6062032 7956417 8033798 9093048 10608556 12050697 15912834 16067596 18186096 21217112 24101394 28118293 30604087 31825668 32135192 42434224 48202788 56236586 61208174 63651336 64270384 84354879 91812261 96405576 112473172 122416348 127302672 168709758 183624522 192811152 214228609 224946344 244832696 337419516 367249044 428457218 449892688 489665392 642685827 674839032 734498088 856914436 1285371654 1349678064 1468996176 1713828872 2570743308 3427657744 5141486616 6824711401 10282973232 13649422802 20474134203 27298845604 40948268406 47772979807 54597691208 81896536812 95545959614 109195382416 143318939421 163793073624 191091919228 286637878842 327586147248 382183838456 573275757684 764367676912 1146551515368 2293103030736