Search a number
-
+
29504059740 = 22325374430039
BaseRepresentation
bin11011011110100101…
…000011100101011100
32211011012002112020100
4123132211003211130
5440411014402430
621315354221100
72063065240611
oct333645034534
984135075210
1029504059740
11115702aa851
125874a24790
132a22701b1c
1415dc62c508
15b7a313960
hex6de94395c

29504059740 has 72 divisors (see below), whose sum is σ = 91914469920. Its totient is φ = 7655105664.

The previous prime is 29504059667. The next prime is 29504059757. The reversal of 29504059740 is 4795040592.

29504059740 is a `hidden beast` number, since 2 + 9 + 50 + 4 + 0 + 597 + 4 + 0 = 666.

It is a super-2 number, since 2×295040597402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2208360 + ... + 2221679.

It is an arithmetic number, because the mean of its divisors is an integer number (1276589860).

Almost surely, 229504059740 is an apocalyptic number.

29504059740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29504059740 is an abundant number, since it is smaller than the sum of its proper divisors (62410410180).

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

29504059740 is a wasteful number, since it uses less digits than its factorization.

29504059740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430091 (or 4430086 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 29504059740 in words is "twenty-nine billion, five hundred four million, fifty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 4430039 8860078 13290117 17720156 22150195 26580234 39870351 44300390 53160468 66450585 79740702 88600780 132901170 159481404 163911443 199351755 265802340 327822886 398703510 491734329 655645772 797407020 819557215 983468658 1475202987 1639114430 1966937316 2458671645 2950405974 3278228860 4917343290 5900811948 7376014935 9834686580 14752029870 29504059740