Search a number
-
+
10011505521620 = 22531139167695627
BaseRepresentation
bin1001000110101111110000…
…1110101111001111010100
31022110002110000220022100202
42101223330032233033110
52303012030403142440
633143115552200032
72052210303562151
oct221537416571724
938402400808322
1010011505521620
11320a94595a779
121158368b39018
13578108a1c295
142687b91d1228
1512565008b615
hex91afc3af3d4

10011505521620 has 96 divisors (see below), whose sum is σ = 21989413232640. Its totient is φ = 3824496097920.

The previous prime is 10011505521587. The next prime is 10011505521631. The reversal of 10011505521620 is 2612550511001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14044247 + ... + 14739873.

It is an arithmetic number, because the mean of its divisors is an integer number (229056387840).

Almost surely, 210011505521620 is an apocalyptic number.

10011505521620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011505521620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10994706616320).

10011505521620 is an abundant number, since it is smaller than the sum of its proper divisors (11977907711020).

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

10011505521620 is a wasteful number, since it uses less digits than its factorization.

10011505521620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695973 (or 695971 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 29.

The spelling of 10011505521620 in words is "ten trillion, eleven billion, five hundred five million, five hundred twenty-one thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 139 155 167 278 310 334 556 620 668 695 835 1390 1670 2780 3340 4309 5177 8618 10354 17236 20708 21545 23213 25885 43090 46426 51770 86180 92852 103540 116065 232130 464260 695627 719603 1391254 1439206 2782508 2878412 3478135 3598015 6956270 7196030 13912540 14392060 21564437 43128874 86257748 96692153 107822185 116169709 193384306 215644370 232339418 386768612 431288740 464678836 483460765 580848545 966921530 1161697090 1933843060 2323394180 2997456743 3601260979 5994913486 7202521958 11989826972 14405043916 14987283715 16147589551 18006304895 29974567430 32295179102 36012609790 59949134860 64590358204 72025219580 80737947755 161475895510 322951791020 500575276081 1001150552162 2002301104324 2502876380405 5005752760810 10011505521620