Search a number
-
+
38372204050376 = 23761103507721481
BaseRepresentation
bin10001011100110001110011…
…00101110111011111001000
312000212100100212122222200112
420232120321211313133020
520012142233214103001
6213335540331453452
711040204662546450
oct1056307145673710
9160770325588615
1038372204050376
1111254618909299
1243789595b7288
131854638ac8771
14969320396d60
1546823827acbb
hex22e6399777c8

38372204050376 has 128 divisors (see below), whose sum is σ = 84406070760960. Its totient is φ = 16014690662400.

The previous prime is 38372204050357. The next prime is 38372204050379. The reversal of 38372204050376 is 67305040227383.

It is not an unprimeable number, because it can be changed into a prime (38372204050379) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1786321556 + ... + 1786343036.

It is an arithmetic number, because the mean of its divisors is an integer number (659422427820).

Almost surely, 238372204050376 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 38372204050376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42203035380480).

38372204050376 is an abundant number, since it is smaller than the sum of its proper divisors (46033866710584).

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

38372204050376 is a wasteful number, since it uses less digits than its factorization.

38372204050376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26735 (or 26731 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 50.

The spelling of 38372204050376 in words is "thirty-eight trillion, three hundred seventy-two billion, two hundred four million, fifty thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 56 61 103 122 206 244 412 427 488 721 824 854 1442 1708 2884 3416 5077 5768 6283 10154 12566 20308 21481 25132 35539 40616 42962 43981 50264 71078 85924 87962 142156 150367 171848 175924 284312 300734 309697 351848 522931 601468 619394 1045862 1202936 1238788 1310341 2091724 2167879 2212543 2477576 2620682 3660517 4183448 4335758 4425086 5241364 7321034 8671516 8850172 9172387 10482728 14642068 15487801 17343032 17700344 18344774 29284136 30975602 31898791 36689548 61951204 63797582 73379096 109059037 123902408 127595164 134965123 218118074 223291537 255190328 269930246 436236148 446583074 539860492 763413259 872472296 893166148 944755861 1079720984 1526826518 1786332296 1889511722 3053653036 3779023444 6107306072 6652601257 7558046888 11233080811 13305202514 22466161622 26610405028 44932323244 46568208799 53220810056 78631565677 89864646488 93136417598 157263131354 186272835196 314526262708 372545670392 629052525416 685217929471 1370435858942 2740871717884 4796525506297 5481743435768 9593051012594 19186102025188 38372204050376