Search a number
-
+
100424626350 = 235219296119919
BaseRepresentation
bin101110110000111000…
…1100011000010101110
3100121012202122121002120
41131201301203002232
53121132201020400
6114045012133410
710153421145126
oct1354161430256
9317182577076
10100424626350
11396540a1174
1217568007266
139615794139
144c095d5c86
15292b664ca0
hex1761c630ae

100424626350 has 192 divisors, whose sum is σ = 275660928000. Its totient is φ = 24092812800.

The previous prime is 100424626333. The next prime is 100424626373. The reversal of 100424626350 is 53626424001.

It is a super-2 number, since 2×1004246263502 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5031691 + ... + 5051609.

It is an arithmetic number, because the mean of its divisors is an integer number (1435734000).

Almost surely, 2100424626350 is an apocalyptic number.

100424626350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100424626350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137830464000).

100424626350 is an abundant number, since it is smaller than the sum of its proper divisors (175236301650).

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

100424626350 is a wasteful number, since it uses less digits than its factorization.

100424626350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20043 (or 20038 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 100424626350 in words is "one hundred billion, four hundred twenty-four million, six hundred twenty-six thousand, three hundred fifty".