Search a number
-
+
67139961088 = 282934925913
BaseRepresentation
bin111110100001110110…
…101000000100000000
320102022002200102001111
4332201312220010000
52100000312223323
650502122213104
74564535152534
oct764166500400
9212262612044
1067139961088
1126523837552
1211019054194
13643ca58835
14336cc43bc4
151b2e4b6c0d
hexfa1da8100

67139961088 has 72 divisors (see below), whose sum is σ = 139041567000. Its totient is φ = 32318275584.

The previous prime is 67139961079. The next prime is 67139961101. The reversal of 67139961088 is 88016993176.

It can be written as a sum of positive squares in 4 ways, for example, as 20400980224 + 46738980864 = 142832^2 + 216192^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2578020 + ... + 2603932.

It is an arithmetic number, because the mean of its divisors is an integer number (1931132875).

Almost surely, 267139961088 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 67139961088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69520783500).

67139961088 is an abundant number, since it is smaller than the sum of its proper divisors (71901605912).

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

67139961088 is a wasteful number, since it uses less digits than its factorization.

67139961088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26307 (or 26293 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 67139961088 in words is "sixty-seven billion, one hundred thirty-nine million, nine hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 349 464 698 928 1396 1856 2792 3712 5584 7424 10121 11168 20242 22336 25913 40484 44672 51826 80968 89344 103652 161936 207304 323872 414608 647744 751477 829216 1295488 1502954 1658432 2590976 3005908 3316864 6011816 6633728 9043637 12023632 18087274 24047264 36174548 48094528 72349096 96189056 144698192 192378112 262265473 289396384 524530946 578792768 1049061892 1157585536 2098123784 2315171072 4196247568 8392495136 16784990272 33569980544 67139961088