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2026155781740 = 2235172280341687
BaseRepresentation
bin11101011111000000010…
…010111010111001101100
321011200212021120020021010
4131133000102322321230
5231144031340003430
64150445250105220
7266246012660346
oct35370022727154
97150767506233
102026155781740
11711319131832
1228882357b210
131190b137c4bc
14700d0536296
1537a893a3cb0
hex1d7c04bae6c

2026155781740 has 144 divisors (see below), whose sum is σ = 6028881207552. Its totient is φ = 508331756544.

The previous prime is 2026155781729. The next prime is 2026155781759. The reversal of 2026155781740 is 471875516202.

It is a self number, because there is not a number n which added to its sum of digits gives 2026155781740.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48583177 + ... + 48624863.

It is an arithmetic number, because the mean of its divisors is an integer number (41867230608).

Almost surely, 22026155781740 is an apocalyptic number.

2026155781740 is a gapful number since it is divisible by the number (20) 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 2026155781740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014440603776).

2026155781740 is an abundant number, since it is smaller than the sum of its proper divisors (4002725425812).

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

2026155781740 is a wasteful number, since it uses less digits than its factorization.

2026155781740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44536 (or 44517 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 2026155781740 in words is "two trillion, twenty-six billion, one hundred fifty-five million, seven hundred eighty-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2803 2890 3468 4335 5606 5780 8409 8670 11212 14015 16818 17340 28030 33636 41687 42045 47651 56060 83374 84090 95302 125061 142953 166748 168180 190604 208435 238255 250122 285906 416870 476510 500244 571812 625305 708679 714765 810067 833740 953020 1250610 1417358 1429530 1620134 2126037 2430201 2501220 2834716 2859060 3240268 3543395 4050335 4252074 4860402 7086790 8100670 8504148 9720804 10630185 12047543 12151005 14173580 16201340 21260370 24095086 24302010 36142629 42520740 48190172 48604020 60237715 72285258 116848661 120475430 144570516 180713145 233697322 240950860 350545983 361426290 467394644 584243305 701091966 722852580 1168486610 1402183932 1752729915 1986427237 2336973220 3505459830 3972854474 5959281711 7010919660 7945708948 9932136185 11918563422 19864272370 23837126844 29796408555 33769263029 39728544740 59592817110 67538526058 101307789087 119185634220 135077052116 168846315145 202615578174 337692630290 405231156348 506538945435 675385260580 1013077890870 2026155781740