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2263718042616 = 23323113151240341
BaseRepresentation
bin100000111100010000000…
…111000001101111111000
322000102001101212110211210
4200330100013001233320
5244042043304330431
64451534313523120
7322356020611122
oct40742007015770
98012041773753
102263718042616
117a3045902538
123068827134a0
131356106b0834
147b7c9140212
153dd402d1d46
hex20f101c1bf8

2263718042616 has 128 divisors (see below), whose sum is σ = 5997090493440. Its totient is φ = 710637312000.

The previous prime is 2263718042561. The next prime is 2263718042647. The reversal of 2263718042616 is 6162408173622.

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, 9298606 + ... + 9538946.

It is an arithmetic number, because the mean of its divisors is an integer number (46852269480).

Almost surely, 22263718042616 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 2263718042616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2998545246720).

2263718042616 is an abundant number, since it is smaller than the sum of its proper divisors (3733372450824).

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

2263718042616 is a wasteful number, since it uses less digits than its factorization.

2263718042616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240637 (or 240633 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 2263718042616 in words is "two trillion, two hundred sixty-three billion, seven hundred eighteen million, forty-two thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 113 138 151 184 226 276 302 339 452 453 552 604 678 904 906 1208 1356 1812 2599 2712 3473 3624 5198 6946 7797 10396 10419 13892 15594 17063 20792 20838 27784 31188 34126 41676 51189 62376 68252 83352 102378 136504 204756 240341 392449 409512 480682 721023 784898 961364 1177347 1442046 1569796 1922728 2354694 2884092 3139592 4709388 5527843 5768184 9418776 11055686 16583529 22111372 27158533 33167058 36291491 44222744 54317066 66334116 72582982 81475599 108634132 108874473 132668232 145165964 162951198 217268264 217748946 290331928 325902396 435497892 624646259 651804792 834704293 870995784 1249292518 1669408586 1873938777 2498585036 2504112879 3338817172 3747877554 4100938483 4997170072 5008225758 6677634344 7495755108 8201876966 10016451516 12302815449 14991510216 16403753932 20032903032 24605630898 32807507864 49211261796 94321585109 98422523592 188643170218 282964755327 377286340436 565929510654 754572680872 1131859021308 2263718042616