Search a number
-
+
29860074944 = 267233193481
BaseRepresentation
bin11011110011110011…
…001001010111000000
32212001222222222021122
4123303303021113000
5442123134344234
621414553011412
72104650310040
oct336363112700
985058888248
1029860074944
1111733263297
1259540b3b68
132a7b3b2bcb
141633a23720
15b9b6d992e
hex6f3cc95c0

29860074944 has 112 divisors (see below), whose sum is σ = 72942882816. Its totient is φ = 11845785600.

The previous prime is 29860074943. The next prime is 29860074977. The reversal of 29860074944 is 44947006892.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×298600749442 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29860074943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272684 + ... + 366164.

Almost surely, 229860074944 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 29860074944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36471441408).

29860074944 is an abundant number, since it is smaller than the sum of its proper divisors (43082807872).

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

29860074944 is a wasteful number, since it uses less digits than its factorization.

29860074944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93554 (or 93544 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 29860074944 in words is "twenty-nine billion, eight hundred sixty million, seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 161 184 217 224 248 322 368 434 448 496 644 713 736 868 992 1288 1426 1472 1736 1984 2576 2852 3472 4991 5152 5704 6944 9982 10304 11408 13888 19964 22816 39928 45632 79856 93481 159712 186962 319424 373924 654367 747848 1308734 1495696 2150063 2617468 2897911 2991392 4300126 5234936 5795822 5982784 8600252 10469872 11591644 15050441 17200504 20285377 20939744 23183288 30100882 34401008 40570754 41879488 46366576 60201764 66651953 68802016 81141508 92733152 120403528 133303906 137604032 162283016 185466304 240807056 266607812 324566032 466563671 481614112 533215624 649132064 933127342 963228224 1066431248 1298264128 1866254684 2132862496 3732509368 4265724992 7465018736 14930037472 29860074944