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134872249664 = 2619172364373
BaseRepresentation
bin111110110011100000…
…0110011010101000000
3110220010110221011200002
41331213000303111000
54202204243442124
6141543124215132
712513155130605
oct1754700632500
9426113834602
10134872249664
1152220961449
122218053a4a8
13c9454248b9
1467565d46ac
1537959830ae
hex1f67033540

134872249664 has 56 divisors (see below), whose sum is σ = 281891171040. Its totient is φ = 63848784384.

The previous prime is 134872249663. The next prime is 134872249667. The reversal of 134872249664 is 466942278431.

It is a super-2 number, since 2×1348722496642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134872249663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062982 + ... + 2127354.

Almost surely, 2134872249664 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 134872249664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140945585520).

134872249664 is an abundant number, since it is smaller than the sum of its proper divisors (147018921376).

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

134872249664 is a wasteful number, since it uses less digits than its factorization.

134872249664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66127 (or 66117 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 56.

The spelling of 134872249664 in words is "one hundred thirty-four billion, eight hundred seventy-two million, two hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1723 3446 6892 13784 27568 32737 55136 64373 65474 110272 128746 130948 257492 261896 514984 523792 1029968 1047584 1223087 2059936 2095168 2446174 4119872 4892348 9784696 19569392 39138784 78277568 110914679 221829358 443658716 887317432 1774634864 2107378901 3549269728 4214757802 7098539456 8429515604 16859031208 33718062416 67436124832 134872249664