Search a number
-
+
10340649347976 = 23332379163161641
BaseRepresentation
bin1001011001111001111010…
…1110110010101110001000
31100121120000122002010001000
42112132132232302232020
52323410122213113401
633554232334455000
72115041634130353
oct226363656625610
940546018063030
1010340649347976
113327498a82082
1211b0106664460
135a017172294c
1427a6c0b8d29a
1512deb6103186
hex9679ebb2b88

10340649347976 has 256 divisors, whose sum is σ = 30538699776000. Its totient is φ = 3235293135360.

The previous prime is 10340649347957. The next prime is 10340649347981. The reversal of 10340649347976 is 67974394604301.

10340649347976 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 0 + 6 + 4 + 93 + 479 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63892116 + ... + 64053756.

It is an arithmetic number, because the mean of its divisors is an integer number (119291796000).

Almost surely, 210340649347976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340649347976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15269349888000).

10340649347976 is an abundant number, since it is smaller than the sum of its proper divisors (20198050428024).

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

10340649347976 is a wasteful number, since it uses less digits than its factorization.

10340649347976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161921 (or 161911 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 10340649347976 in words is "ten trillion, three hundred forty billion, six hundred forty-nine million, three hundred forty-seven thousand, nine hundred seventy-six".