Search a number
-
+
40047001783768 = 2372926639260039
BaseRepresentation
bin10010001101100001010110…
…10100001100110111011000
312020210110022102002000110201
421012300223110030313120
520222112224424040033
6221101201051351544
711302205015443210
oct1106605324146730
9166713272060421
1040047001783768
111183a924535971
1245a9463a525b4
131946554128b35
149c63dc949240
15496aab27147d
hex246c2b50cdd8

40047001783768 has 64 divisors (see below), whose sum is σ = 88807487616000. Its totient is φ = 16564948616832.

The previous prime is 40047001783741. The next prime is 40047001783771. The reversal of 40047001783768 is 86738710074004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305308 + ... + 8954731.

It is an arithmetic number, because the mean of its divisors is an integer number (1387616994000).

Almost surely, 240047001783768 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 40047001783768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44403743808000).

40047001783768 is an abundant number, since it is smaller than the sum of its proper divisors (48760485832232).

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

40047001783768 is a wasteful number, since it uses less digits than its factorization.

40047001783768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262744 (or 9262740 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 55.

The spelling of 40047001783768 in words is "forty trillion, forty-seven billion, one million, seven hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1624 2663 5326 10652 18641 21304 37282 74564 77227 149128 154454 308908 540589 617816 1081178 2162356 4324712 9260039 18520078 37040156 64820273 74080312 129640546 259281092 268541131 518562184 537082262 1074164524 1879787917 2148329048 3759575834 7519151668 15038303336 24659483857 49318967714 98637935428 172616386999 197275870856 345232773998 690465547996 715125031853 1380931095992 1430250063706 2860500127412 5005875222971 5721000254824 10011750445942 20023500891884 40047001783768