Search a number
-
+
100506033552 = 2434151070139
BaseRepresentation
bin101110110011010100…
…0000101110110010000
3100121102102211111210010
41131212220011312100
53121314021033202
6114101041034520
710155430121661
oct1354650056620
9317372744703
10100506033552
1139696043651
121758b325a40
1396295c7b92
144c16347368
15293389576c
hex1766a05d90

100506033552 has 40 divisors (see below), whose sum is σ = 265973289120. Its totient is φ = 32684888320.

The previous prime is 100506033547. The next prime is 100506033569. The reversal of 100506033552 is 255330605001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25533102 + ... + 25537037.

It is an arithmetic number, because the mean of its divisors is an integer number (6649332228).

Almost surely, 2100506033552 is an apocalyptic number.

100506033552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100506033552 is an abundant number, since it is smaller than the sum of its proper divisors (165467255568).

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

100506033552 is a wasteful number, since it uses less digits than its factorization.

100506033552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51070191 (or 51070185 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Adding to 100506033552 its reverse (255330605001), we get a palindrome (355836638553).

The spelling of 100506033552 in words is "one hundred billion, five hundred six million, thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 51070139 102140278 153210417 204280556 306420834 408561112 612841668 817122224 1225683336 2093875699 2451366672 4187751398 6281627097 8375502796 12563254194 16751005592 25126508388 33502011184 50253016776 100506033552