Search a number
-
+
29870285920048 = 2472946279198719
BaseRepresentation
bin1101100101010101101111…
…10010000001011100110000
310220202120102120202202102201
412302222313302001130300
512403343321143420143
6143310115300152544
76202025350040050
oct662526762013460
9126676376682381
1029870285920048
119576a0a759992
12342508a398754
1313889a98758a2
14753a2dc6b560
1536bedc0e264d
hex1b2ab7c81730

29870285920048 has 80 divisors (see below), whose sum is σ = 68423906304000. Its totient is φ = 12359789035776.

The previous prime is 29870285920043. The next prime is 29870285920061. The reversal of 29870285920048 is 84002958207892.

It is not an unprimeable number, because it can be changed into a prime (29870285920043) 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, 150214833 + ... + 150413551.

It is an arithmetic number, because the mean of its divisors is an integer number (855298828800).

Almost surely, 229870285920048 is an apocalyptic number.

29870285920048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29870285920048 is an abundant number, since it is smaller than the sum of its proper divisors (38553620383952).

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

29870285920048 is a wasteful number, since it uses less digits than its factorization.

29870285920048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245042 (or 245036 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 64.

The spelling of 29870285920048 in words is "twenty-nine trillion, eight hundred seventy billion, two hundred eighty-five million, nine hundred twenty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 46279 92558 185116 198719 323953 370232 397438 647906 740464 794876 1295812 1342091 1391033 1589752 2591624 2684182 2782066 3179504 5183248 5368364 5564132 5762851 9394637 10736728 11128264 11525702 18789274 21473456 22256528 23051404 37578548 40339957 46102808 75157096 80679914 92205616 150314192 161359828 322719656 645439312 9196516601 18393033202 36786066404 64375616207 73572132808 128751232414 147144265616 257502464828 266698981429 515004929656 533397962858 1030009859312 1066795925716 1866892870003 2133591851432 3733785740006 4267183702864 7467571480012 14935142960024 29870285920048