Search a number
-
+
11865950304 = 2531337925087
BaseRepresentation
bin10110000110100010…
…00000100001100000
31010121221212201201220
423003101000201200
5143300140402204
65241240255040
7600022625205
oct130321004140
933557781656
1011865950304
11503a0240aa
122371a71480
13117145b990
14807cc5cac
15496ae21d9
hex2c3440860

11865950304 has 96 divisors (see below), whose sum is σ = 33633976320. Its totient is φ = 3641283072.

The previous prime is 11865950279. The next prime is 11865950353. The reversal of 11865950304 is 40305956811.

It is a tau number, because it is divible by the number of its divisors (96).

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, 460449 + ... + 485535.

It is an arithmetic number, because the mean of its divisors is an integer number (350353920).

Almost surely, 211865950304 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 11865950304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16816988160).

11865950304 is an abundant number, since it is smaller than the sum of its proper divisors (21768026016).

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

11865950304 is a wasteful number, since it uses less digits than its factorization.

11865950304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25492 (or 25484 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 11865950304 in words is "eleven billion, eight hundred sixty-five million, nine hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 379 416 624 758 1137 1248 1516 2274 3032 4548 4927 6064 9096 9854 12128 14781 18192 19708 25087 29562 36384 39416 50174 59124 75261 78832 100348 118248 150522 157664 200696 236496 301044 326131 401392 472992 602088 652262 802784 978393 1204176 1304524 1956786 2408352 2609048 3913572 5218096 7827144 9507973 10436192 15654288 19015946 28523919 31308576 38031892 57047838 76063784 114095676 123603649 152127568 228191352 247207298 304255136 370810947 456382704 494414596 741621894 912765408 988829192 1483243788 1977658384 2966487576 3955316768 5932975152 11865950304