Search a number
-
+
147080986416 = 243272138571871
BaseRepresentation
bin1000100011111010110…
…1011011111100110000
3112001122022211021000100
42020332231123330300
54402210213031131
6151322411552400
713424542520400
oct2107655337460
9461568737010
10147080986416
1157416423031
122460915b700
1310b3c8b22a0
147193c2a800
153c5c6d67e6
hex223eb5bf30

147080986416 has 360 divisors, whose sum is σ = 516536564544. Its totient is φ = 38724618240.

The previous prime is 147080986387. The next prime is 147080986421. The reversal of 147080986416 is 614689080741.

147080986416 is a `hidden beast` number, since 1 + 4 + 70 + 80 + 9 + 86 + 416 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78609961 + ... + 78611831.

Almost surely, 2147080986416 is an apocalyptic number.

147080986416 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 147080986416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258268282272).

147080986416 is an abundant number, since it is smaller than the sum of its proper divisors (369455578128).

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

147080986416 is a wasteful number, since it uses less digits than its factorization.

147080986416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 147080986416 in words is "one hundred forty-seven billion, eighty million, nine hundred eighty-six thousand, four hundred sixteen".