Search a number
-
+
10153273530720 = 2535179471313911
BaseRepresentation
bin1001001110111111111001…
…0000110001100101100000
31022221122101002102100122110
42103233332100301211200
52312322401010440340
633332203252435320
72065356404016015
oct223577620614540
938848332370573
1010153273530720
113264a85238261
12117b932918b40
135885ac9800b8
142715c756970c
1512919b0e7680
hex93bfe431960

10153273530720 has 192 divisors, whose sum is σ = 33899938684416. Its totient is φ = 2545579745280.

The previous prime is 10153273530691. The next prime is 10153273530749. The reversal of 10153273530720 is 2703537235101.

10153273530720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10153273530691) and next prime (10153273530749).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7070565 + ... + 8384475.

It is an arithmetic number, because the mean of its divisors is an integer number (176562180648).

Almost surely, 210153273530720 is an apocalyptic number.

10153273530720 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 10153273530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16949969342208).

10153273530720 is an abundant number, since it is smaller than the sum of its proper divisors (23746665153696).

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

10153273530720 is a wasteful number, since it uses less digits than its factorization.

10153273530720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314893 (or 1314885 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The spelling of 10153273530720 in words is "ten trillion, one hundred fifty-three billion, two hundred seventy-three million, five hundred thirty thousand, seven hundred twenty".