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10148506380 = 22325359157049
BaseRepresentation
bin10010111001110010…
…11110101100001100
3222012021012112120200
421130321132230030
5131241004201010
64355005413500
7506326611105
oct113471365414
928167175520
1010148506380
114338627061
121b7286a290
13c596b557c
146c3b7d3ac
153e5e44cc0
hex25ce5eb0c

10148506380 has 72 divisors (see below), whose sum is σ = 30869748000. Its totient is φ = 2698712832.

The previous prime is 10148506267. The next prime is 10148506387. The reversal of 10148506380 is 8360584101.

10148506380 is a `hidden beast` number, since 1 + 0 + 14 + 8 + 5 + 0 + 638 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10148506387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13905 + ... + 143144.

It is an arithmetic number, because the mean of its divisors is an integer number (428746500).

Almost surely, 210148506380 is an apocalyptic number.

10148506380 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 10148506380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434874000).

10148506380 is an abundant number, since it is smaller than the sum of its proper divisors (20721241620).

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

10148506380 is a wasteful number, since it uses less digits than its factorization.

10148506380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157423 (or 157418 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10148506380 in words is "ten billion, one hundred forty-eight million, five hundred six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 359 718 1077 1436 1795 2154 3231 3590 4308 5385 6462 7180 10770 12924 16155 21540 32310 64620 157049 314098 471147 628196 785245 942294 1413441 1570490 1884588 2355735 2826882 3140980 4711470 5653764 7067205 9422940 14134410 28268820 56380591 112761182 169141773 225522364 281902955 338283546 507425319 563805910 676567092 845708865 1014850638 1127611820 1691417730 2029701276 2537126595 3382835460 5074253190 10148506380