Search a number
-
+
29677901040 = 243551526641
BaseRepresentation
bin11011101000111100…
…001101010011110000
32211121022012120200000
4123220330031103300
5441240020313130
621344524230000
72100305665554
oct335074152360
984538176600
1029677901040
111164a446347
12590309b300
132a4c72a6b8
141617761864
15b8a702260
hex6e8f0d4f0

29677901040 has 120 divisors (see below), whose sum is σ = 103359769968. Its totient is φ = 7914101760.

The previous prime is 29677901039. The next prime is 29677901047. The reversal of 29677901040 is 4010977692.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29677901047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 743881 + ... + 782760.

Almost surely, 229677901040 is an apocalyptic number.

29677901040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29677901040 is an abundant number, since it is smaller than the sum of its proper divisors (73681868928).

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

29677901040 is a wasteful number, since it uses less digits than its factorization.

29677901040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526669 (or 1526651 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 29677901040 in words is "twenty-nine billion, six hundred seventy-seven million, nine hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 19440 1526641 3053282 4579923 6106564 7633205 9159846 12213128 13739769 15266410 18319692 22899615 24426256 27479538 30532820 36639384 41219307 45799230 54959076 61065640 68698845 73278768 82438614 91598460 109918152 122131280 123657921 137397690 164877228 183196920 206096535 219836304 247315842 274795380 329754456 366393840 370973763 412193070 494631684 549590760 618289605 659508912 741947526 824386140 989263368 1099181520 1236579210 1483895052 1648772280 1854868815 1978526736 2473158420 2967790104 3297544560 3709737630 4946316840 5935580208 7419475260 9892633680 14838950520 29677901040