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127980930064 = 24134734937511
BaseRepresentation
bin111011100110001000…
…0100000010000010000
3110020100012200212100211
41313030100200100100
54044101104230224
6134443231253504
712150325646041
oct1671420402020
9406305625324
10127980930064
114a304997a99
122097867a294
13c0b77b14b0
1462a12888c8
1534e0985894
hex1dcc420410

127980930064 has 80 divisors (see below), whose sum is σ = 273507494400. Its totient is φ = 57644167680.

The previous prime is 127980930061. The next prime is 127980930079. The reversal of 127980930064 is 460039089721.

It is not an unprimeable number, because it can be changed into a prime (127980930061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3393069 + ... + 3430579.

It is an arithmetic number, because the mean of its divisors is an integer number (3418843680).

Almost surely, 2127980930064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127980930064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136753747200).

127980930064 is an abundant number, since it is smaller than the sum of its proper divisors (145526564336).

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

127980930064 is a wasteful number, since it uses less digits than its factorization.

127980930064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37928 (or 37922 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 127980930064 in words is "one hundred twenty-seven billion, nine hundred eighty million, nine hundred thirty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 349 376 611 698 752 1222 1396 2444 2792 4537 4888 5584 9074 9776 16403 18148 32806 36296 37511 65612 72592 75022 131224 150044 213239 262448 300088 426478 487643 600176 852956 975286 1705912 1763017 1950572 3411824 3526034 3901144 7052068 7802288 13091339 14104136 22919221 26182678 28208272 45838442 52365356 91676884 104730712 170187407 183353768 209461424 340374814 366707536 615292933 680749628 1230585866 1361499256 2461171732 2722998512 4922343464 7998808129 9844686928 15997616258 31995232516 63990465032 127980930064