Search a number
-
+
128760152064 = 2183179631
BaseRepresentation
bin111011111101010110…
…1000000000000000000
3110022100111221102222220
41313322231000000000
54102200044331224
6135052424531040
712205540143225
oct1677255000000
9408314842886
10128760152064
114a674827015
1220b55620a80
13c1b006aabb
14633696594c
1535390a6279
hex1dfab40000

128760152064 has 152 divisors (see below), whose sum is σ = 363595131648. Its totient is φ = 40391147520.

The previous prime is 128760152051. The next prime is 128760152093. The reversal of 128760152064 is 460251067821.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13364529 + ... + 13374159.

Almost surely, 2128760152064 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 128760152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181797565824).

128760152064 is an abundant number, since it is smaller than the sum of its proper divisors (234834979584).

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

128760152064 is an frugal number, since it uses more digits than its factorization.

128760152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9687 (or 9653 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 128760152064 in words is "one hundred twenty-eight billion, seven hundred sixty million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 9631 12288 13056 16384 17408 19262 24576 26112 28893 32768 34816 38524 49152 52224 57786 65536 69632 77048 98304 104448 115572 131072 139264 154096 163727 196608 208896 231144 262144 278528 308192 327454 393216 417792 462288 491181 557056 616384 654908 786432 835584 924576 982362 1114112 1232768 1309816 1671168 1849152 1964724 2228224 2465536 2619632 3342336 3698304 3929448 4456448 4931072 5239264 6684672 7396608 7858896 9862144 10478528 13369344 14793216 15717792 19724288 20957056 29586432 31435584 39448576 41914112 59172864 62871168 78897152 83828224 118345728 125742336 157794304 167656448 236691456 251484672 315588608 335312896 473382912 502969344 631177216 670625792 946765824 1005938688 1262354432 1341251584 1893531648 2011877376 2524708864 2682503168 3787063296 4023754752 5365006336 7574126592 8047509504 10730012672 16095019008 21460025344 32190038016 42920050688 64380076032 128760152064