Search a number
-
+
29506923840 = 263530736379
BaseRepresentation
bin11011011110101111…
…111110110101000000
32211011101111001001010
4123132233332311000
5440412233030330
621315535440520
72063131500012
oct333657766500
984141431033
1029506923840
1111571986679
125875986140
132a23195664
1415dcb761b2
15b7a6cc3b0
hex6debfed40

29506923840 has 56 divisors (see below), whose sum is σ = 93684486240. Its totient is φ = 7868512768.

The previous prime is 29506923839. The next prime is 29506923847. The reversal of 29506923840 is 4832960592.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 29506923840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29506923847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15367230 + ... + 15369149.

Almost surely, 229506923840 is an apocalyptic number.

29506923840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29506923840 is an abundant number, since it is smaller than the sum of its proper divisors (64177562400).

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

29506923840 is a wasteful number, since it uses less digits than its factorization.

29506923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30736399 (or 30736389 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 29506923840 in words is "twenty-nine billion, five hundred six million, nine hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 30736379 61472758 92209137 122945516 153681895 184418274 245891032 307363790 368836548 461045685 491782064 614727580 737673096 922091370 983564128 1229455160 1475346192 1844182740 1967128256 2458910320 2950692384 3688365480 4917820640 5901384768 7376730960 9835641280 14753461920 29506923840