Search a number
-
+
10076911161840 = 2434519375341737
BaseRepresentation
bin1001001010100011011010…
…1101011101000111110000
31022200100021021011002110000
42102220312231131013300
52310100003224134330
633233134042110000
72060014152416655
oct222506655350760
938610237132400
1010076911161840
113235659712296
121168b811ab300
13581330372943
1426ba21977c2c
151271cc170560
hex92a36b5d1f0

10076911161840 has 800 divisors, whose sum is σ = 38551146765120. Its totient is φ = 2430149050368.

The previous prime is 10076911161799. The next prime is 10076911161881. The reversal of 10076911161840 is 4816111967001.

10076911161840 is a `hidden beast` number, since 10 + 0 + 7 + 6 + 9 + 1 + 11 + 618 + 4 + 0 = 666.

10076911161840 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 (10076911161799) and next prime (10076911161881).

It is a super-3 number, since 3×100769111618403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 241417452 + ... + 241459188.

Almost surely, 210076911161840 is an apocalyptic number.

10076911161840 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 10076911161840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19275573382560).

10076911161840 is an abundant number, since it is smaller than the sum of its proper divisors (28474235603280).

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

10076911161840 is a wasteful number, since it uses less digits than its factorization.

10076911161840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41871 (or 41856 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 10076911161840 in words is "ten trillion, seventy-six billion, nine hundred eleven million, one hundred sixty-one thousand, eight hundred forty".