Search a number
-
+
10370738132160 = 2635723731635639
BaseRepresentation
bin1001011011101010000000…
…1010011001010011000000
31100201102200120102201102020
42112322200022121103000
52324403232430212120
634020130141521440
72120155362436260
oct226724012312300
940642616381366
1010370738132160
113339229346a6a
1211b5b03273280
135a2c58302463
1427bd36d097a0
1512eb77918640
hex96ea02994c0

10370738132160 has 896 divisors, whose sum is σ = 40056302960640. Its totient is φ = 2222217068544.

The previous prime is 10370738132149. The next prime is 10370738132191. The reversal of 10370738132160 is 6123183707301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1839106621 + ... + 1839112259.

Almost surely, 210370738132160 is an apocalyptic number.

10370738132160 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 10370738132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20028151480320).

10370738132160 is an abundant number, since it is smaller than the sum of its proper divisors (29685564828480).

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

10370738132160 is a wasteful number, since it uses less digits than its factorization.

10370738132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5915 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 10370738132160 in words is "ten trillion, three hundred seventy billion, seven hundred thirty-eight million, one hundred thirty-two thousand, one hundred sixty".