Search a number
-
+
4153798978560 = 21032571167101173
BaseRepresentation
bin111100011100100001101…
…101100110110000000000
3112201002200101121022200100
4330130201231212300000
51021023440014303220
612500121235522400
7606050003520450
oct74344155466000
915632611538610
104153798978560
111361686263620
1257104aa59400
132419174453aa
1410508b477d60
15730b3352d90
hex3c721b66c00

4153798978560 has 2112 divisors, whose sum is σ = 18498734152704. Its totient is φ = 836960256000.

The previous prime is 4153798978559. The next prime is 4153798978561. The reversal of 4153798978560 is 658798973514.

4153798978560 is a `hidden beast` number, since 4 + 1 + 53 + 7 + 9 + 8 + 9 + 7 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (4153798978559) and next prime (4153798978561).

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is not an unprimeable number, because it can be changed into a prime (4153798978561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24010398634 + ... + 24010398806.

Almost surely, 24153798978560 is an apocalyptic number.

4153798978560 is a gapful number since it is divisible by the number (40) 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 4153798978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249367076352).

4153798978560 is an abundant number, since it is smaller than the sum of its proper divisors (14344935174144).

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

4153798978560 is a wasteful number, since it uses less digits than its factorization.

4153798978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

It can be divided in two parts, 415379 and 8978560, that added together give a palindrome (9393939).

The spelling of 4153798978560 in words is "four trillion, one hundred fifty-three billion, seven hundred ninety-eight million, nine hundred seventy-eight thousand, five hundred sixty".