Search a number
-
+
13599987540480 = 293351119249549
BaseRepresentation
bin1100010111100111111001…
…1011010010001000000000
31210011010221111220120112000
43011321332123102020000
53240310233302243410
644531425323504000
72602365240504315
oct305717633221000
953133844816460
1013599987540480
1143737a4463270
121637928388000
1377861cb72713
14350358784d0c
15188b78392dc0
hexc5e7e6d2200

13599987540480 has 960 divisors, whose sum is σ = 55620739152000. Its totient is φ = 3123379077120.

The previous prime is 13599987540443. The next prime is 13599987540493. The reversal of 13599987540480 is 8404578999531.

13599987540480 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 9 + 98 + 7 + 54 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×135999875404802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13599987540399 and 13599987540408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274450746 + ... + 274500294.

It is an arithmetic number, because the mean of its divisors is an integer number (57938269950).

Almost surely, 213599987540480 is an apocalyptic number.

13599987540480 is a gapful number since it is divisible by the number (10) 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 13599987540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27810369576000).

13599987540480 is an abundant number, since it is smaller than the sum of its proper divisors (42020751611520).

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

13599987540480 is a wasteful number, since it uses less digits than its factorization.

13599987540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49630 (or 49589 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 13599987540480 in words is "thirteen trillion, five hundred ninety-nine billion, nine hundred eighty-seven million, five hundred forty thousand, four hundred eighty".