Search a number
-
+
157736238120 = 233254113976883
BaseRepresentation
bin1001001011100111001…
…1111111110000101000
3120002010220120010111100
42102321303333300220
510041020434104440
6200244003001400
714252564621226
oct2227163776050
9502126503440
10157736238120
1160993aa337a
12266a1669260
1311b4a271c56
1478c4dd9b16
154182d78230
hex24b9cffc28

157736238120 has 192 divisors, whose sum is σ = 528931166400. Its totient is φ = 40741309440.

The previous prime is 157736238119. The next prime is 157736238167. The reversal of 157736238120 is 21832637751.

157736238120 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 3 + 623 + 8 + 12 + 0 = 666.

It is a super-2 number, since 2×1577362381202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2013199 + ... + 2090081.

It is an arithmetic number, because the mean of its divisors is an integer number (2754849825).

Almost surely, 2157736238120 is an apocalyptic number.

157736238120 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 157736238120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264465583200).

157736238120 is an abundant number, since it is smaller than the sum of its proper divisors (371194928280).

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

157736238120 is a wasteful number, since it uses less digits than its factorization.

157736238120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77080 (or 77073 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 157736238120 in words is "one hundred fifty-seven billion, seven hundred thirty-six million, two hundred thirty-eight thousand, one hundred twenty".