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1909718712916 = 2272372337571493
BaseRepresentation
bin11011110010100100000…
…110110000001001010100
320202120022120200021111121
4123302210012300021110
5222242100442303131
64021151311413324
7254654416140400
oct33624406601124
96676276607447
101909718712916
116769a8477633
1226a148b24244
1310b116396941
1468606490100
1534a220db911
hex1bca41b0254

1909718712916 has 144 divisors (see below), whose sum is σ = 4017835510416. Its totient is φ = 791335028736.

The previous prime is 1909718712851. The next prime is 1909718712997. The reversal of 1909718712916 is 6192178179091.

It can be written as a sum of positive squares in 8 ways, for example, as 210684672016 + 1699034040900 = 459004^2 + 1303470^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279114266 + ... + 1279115758.

It is an arithmetic number, because the mean of its divisors is an integer number (27901635489).

Almost surely, 21909718712916 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 1909718712916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008917755208).

1909718712916 is an abundant number, since it is smaller than the sum of its proper divisors (2108116797500).

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

1909718712916 is a wasteful number, since it uses less digits than its factorization.

1909718712916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 61.

The spelling of 1909718712916 in words is "one trillion, nine hundred nine billion, seven hundred eighteen million, seven hundred twelve thousand, nine hundred sixteen".

Divisors: 1 2 4 7 14 28 37 49 74 98 148 196 233 259 466 518 757 932 1036 1493 1514 1631 1813 2986 3028 3262 3626 5299 5972 6524 7252 8621 10451 10598 11417 17242 20902 21196 22834 28009 34484 37093 41804 45668 55241 56018 60347 73157 74186 110482 112036 120694 146314 148372 176381 196063 220964 241388 292628 347869 352762 386687 392126 422429 695738 705524 773374 784252 844858 1130201 1234667 1372441 1391476 1546748 1689716 2260402 2435083 2469334 2706809 2744882 4520804 4870166 4938668 5413618 5489764 6526097 7911407 8642669 9740332 10827236 12871153 13052194 15822814 17045581 17285338 25742306 26104388 31645628 34091162 34570676 41817437 45682679 51484612 55379849 68182324 83634874 90098071 91365358 110759698 167269748 180196142 182730716 221519396 263336833 292722059 319778753 360392284 526673666 585444118 630686497 639557506 1053347332 1170888236 1261372994 1279115012 1843357831 2049054413 2522745988 3686715662 4098108826 7373431324 8196217652 9743462821 12903504817 19486925642 25807009634 38973851284 51614019268 68204239747 136408479494 272816958988 477429678229 954859356458 1909718712916