Search a number
-
+
100506626480 = 2451396640987
BaseRepresentation
bin101110110011010101…
…0010110100110110000
3100121102110221122010102
41131212222112212300
53121314144021410
6114101101451532
710155435141431
oct1354652264660
9317373848112
10100506626480
1139696409077
121758b570ba8
139629774a20
144c1645d488
1529339612a5
hex1766a969b0

100506626480 has 40 divisors (see below), whose sum is σ = 251653132752. Its totient is φ = 37110138624.

The previous prime is 100506626459. The next prime is 100506626593. The reversal of 100506626480 is 84626605001.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 48319454 + ... + 48321533.

Almost surely, 2100506626480 is an apocalyptic number.

100506626480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100506626480 is an abundant number, since it is smaller than the sum of its proper divisors (151146506272).

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

100506626480 is a wasteful number, since it uses less digits than its factorization.

100506626480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96641013 (or 96641007 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 100506626480 in words is "one hundred billion, five hundred six million, six hundred twenty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 96640987 193281974 386563948 483204935 773127896 966409870 1256332831 1546255792 1932819740 2512665662 3865639480 5025331324 6281664155 7731278960 10050662648 12563328310 20101325296 25126656620 50253313240 100506626480