Search a number
-
+
137463150016 = 26171272713671
BaseRepresentation
bin1000000000000101110…
…0010011010111000000
3111010211001011112210101
42000001130103113000
54223011031300031
6143052200212144
712634315332133
oct2000134232700
9433731145711
10137463150016
1153330401205
122278416a054
13cc6912ca2a
14692074821a
153898167361
hex20017135c0

137463150016 has 112 divisors (see below), whose sum is σ = 292252188672. Its totient is φ = 63924940800.

The previous prime is 137463150007. The next prime is 137463150091. The reversal of 137463150016 is 610051364731.

It is a super-2 number, since 2×1374631500162 (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 15 ways as a sum of consecutive naturals, for example, 37443861 + ... + 37447531.

Almost surely, 2137463150016 is an apocalyptic number.

137463150016 is a gapful number since it is divisible by the number (16) 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 137463150016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146126094336).

137463150016 is an abundant number, since it is smaller than the sum of its proper divisors (154789038656).

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

137463150016 is a wasteful number, since it uses less digits than its factorization.

137463150016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4098 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 137463150016 in words is "one hundred thirty-seven billion, four hundred sixty-three million, one hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 127 136 254 271 272 508 542 544 1016 1084 1088 2032 2159 2168 3671 4064 4318 4336 4607 7342 8128 8636 8672 9214 14684 17272 17344 18428 29368 34417 34544 36856 58736 62407 68834 69088 73712 117472 124814 137668 138176 147424 234944 249628 275336 294848 466217 499256 550672 585089 932434 994841 998512 1101344 1170178 1864868 1989682 1997024 2202688 2340356 3729736 3979364 3994048 4680712 7459472 7925689 7958728 9361424 14918944 15851378 15917456 16912297 18722848 29837888 31702756 31834912 33824594 37445696 63405512 63669824 67649188 126344807 126811024 135298376 252689614 253622048 270596752 505379228 507244096 541193504 1010758456 1082387008 2021516912 2147861719 4043033824 4295723438 8086067648 8591446876 17182893752 34365787504 68731575008 137463150016