Search a number
-
+
100187896950 = 2335274213257
BaseRepresentation
bin101110101001110101…
…0011111110001110110
3100120121021012111102000
41131103222133301312
53120141100200300
6114005314200130
710144515034011
oct1352352376166
9316537174360
10100187896950
1139542501939
1217500883046
1395a8719b7b
144bc5db2378
1529159a2c00
hex1753a9fc76

100187896950 has 48 divisors (see below), whose sum is σ = 276073319760. Its totient is φ = 26716772160.

The previous prime is 100187896909. The next prime is 100187896961. The reversal of 100187896950 is 59698781001.

It is a super-2 number, since 2×1001878969502 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37105279 + ... + 37107978.

It is an arithmetic number, because the mean of its divisors is an integer number (5751527495).

Almost surely, 2100187896950 is an apocalyptic number.

100187896950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100187896950 is an abundant number, since it is smaller than the sum of its proper divisors (175885422810).

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

100187896950 is a wasteful number, since it uses less digits than its factorization.

100187896950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74213278 (or 74213267 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 100187896950 in words is "one hundred billion, one hundred eighty-seven million, eight hundred ninety-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 135 150 225 270 450 675 1350 74213257 148426514 222639771 371066285 445279542 667919313 742132570 1113198855 1335838626 1855331425 2003757939 2226397710 3339596565 3710662850 4007515878 5565994275 6679193130 10018789695 11131988550 16697982825 20037579390 33395965650 50093948475 100187896950