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13925416032 = 25321114929501
BaseRepresentation
bin11001111100000010…
…01111110001100000
31022221111010102121100
430332001033301200
5212004401303112
610221445554400
71002041040363
oct147601176140
938844112540
1013925416032
1159a65971a0
122847715a00
13140c026a58
149616200da
155677ee2dc
hex33e04fc60

13925416032 has 144 divisors (see below), whose sum is σ = 43491848400. Its totient is φ = 4191360000.

The previous prime is 13925416019. The next prime is 13925416067. The reversal of 13925416032 is 23061452931.

13925416032 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 5 + 41 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457282 + ... + 486782.

It is an arithmetic number, because the mean of its divisors is an integer number (302026725).

Almost surely, 213925416032 is an apocalyptic number.

13925416032 is a gapful number since it is divisible by the number (12) 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 13925416032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21745924200).

13925416032 is an abundant number, since it is smaller than the sum of its proper divisors (29566432368).

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

13925416032 is a wasteful number, since it uses less digits than its factorization.

13925416032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29677 (or 29666 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 13925416032 its reverse (23061452931), we get a palindrome (36986868963).

The spelling of 13925416032 in words is "thirteen billion, nine hundred twenty-five million, four hundred sixteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 149 176 198 264 288 298 352 396 447 528 596 792 894 1056 1192 1341 1584 1639 1788 2384 2682 3168 3278 3576 4768 4917 5364 6556 7152 9834 10728 13112 14304 14751 19668 21456 26224 29501 29502 39336 42912 52448 59002 59004 78672 88503 118004 118008 157344 177006 236008 236016 265509 324511 354012 472016 472032 531018 649022 708024 944032 973533 1062036 1298044 1416048 1947066 2124072 2596088 2832096 2920599 3894132 4248144 4395649 5192176 5841198 7788264 8496288 8791298 10384352 11682396 13186947 15576528 17582596 23364792 26373894 31153056 35165192 39560841 46729584 48352139 52747788 70330384 79121682 93459168 96704278 105495576 140660768 145056417 158243364 193408556 210991152 290112834 316486728 386817112 421982304 435169251 580225668 632973456 773634224 870338502 1160451336 1265946912 1547268448 1740677004 2320902672 3481354008 4641805344 6962708016 13925416032