Search a number
-
+
14997841536 = 273591036427
BaseRepresentation
bin11011111011111000…
…01110011010000000
31102201020002021211110
431331330032122000
5221203421412121
610520115443320
71040442356346
oct157574163200
942636067743
1014997841536
1163a6988367
122aa68b6540
131550271762
14a23c21996
155cba39d76
hex37df0e680

14997841536 has 128 divisors (see below), whose sum is σ = 40912934400. Its totient is φ = 4866075648.

The previous prime is 14997841519. The next prime is 14997841583. The reversal of 14997841536 is 63514879941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 2330355 + ... + 2336781.

It is an arithmetic number, because the mean of its divisors is an integer number (319632300).

Almost surely, 214997841536 is an apocalyptic number.

14997841536 is a gapful number since it is divisible by the number (16) 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 14997841536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20456467200).

14997841536 is an abundant number, since it is smaller than the sum of its proper divisors (25915092864).

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

14997841536 is a wasteful number, since it uses less digits than its factorization.

14997841536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6606 (or 6594 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 57.

The spelling of 14997841536 in words is "fourteen billion, nine hundred ninety-seven million, eight hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 103 118 128 177 192 206 236 309 354 384 412 472 618 708 824 944 1236 1416 1648 1888 2472 2832 3296 3776 4944 5664 6077 6427 6592 7552 9888 11328 12154 12854 13184 18231 19281 19776 22656 24308 25708 36462 38562 39552 48616 51416 72924 77124 97232 102832 145848 154248 194464 205664 291696 308496 379193 388928 411328 583392 616992 661981 758386 777856 822656 1137579 1166784 1233984 1323962 1516772 1985943 2275158 2333568 2467968 2647924 3033544 3971886 4550316 5295848 6067088 7943772 9100632 10591696 12134176 15887544 18201264 21183392 24268352 31775088 36402528 39056879 42366784 48536704 63550176 72805056 78113758 84733568 117170637 127100352 145610112 156227516 234341274 254200704 312455032 468682548 624910064 937365096 1249820128 1874730192 2499640256 3749460384 4999280512 7498920768 14997841536