Search a number
-
+
152069507072 = 2117212312
BaseRepresentation
bin1000110110100000001…
…1001000100000000000
3112112111222121100212122
42031220003020200000
54442414243211242
6153505413143412
713662265324400
oct2155003104000
9475458540778
10152069507072
11595462aa47a
122557b92ab68
1311456251b62
147508580800
153e50621ad2
hex23680c8800

152069507072 has 108 divisors (see below), whose sum is σ = 353995555095. Its totient is φ = 65119703040.

The previous prime is 152069507027. The next prime is 152069507087. The reversal of 152069507072 is 270705960251.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 76034753536 + 76034753536 = 275744^2 + 275744^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=275744.

It is a super-2 number, since 2×1520695070722 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 123532697 + ... + 123533927.

Almost surely, 2152069507072 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 152069507072

152069507072 is an abundant number, since it is smaller than the sum of its proper divisors (201926048023).

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

152069507072 is an frugal number, since it uses more digits than its factorization.

152069507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 152069507072 in words is "one hundred fifty-two billion, sixty-nine million, five hundred seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1231 1568 1792 2048 2462 3136 3584 4924 6272 7168 8617 9848 12544 14336 17234 19696 25088 34468 39392 50176 60319 68936 78784 100352 120638 137872 157568 241276 275744 315136 482552 551488 630272 965104 1102976 1260544 1515361 1930208 2205952 2521088 3030722 3860416 4411904 6061444 7720832 8823808 10607527 12122888 15441664 17647616 21215054 24245776 30883328 42430108 48491552 61766656 74252689 84860216 96983104 123533312 148505378 169720432 193966208 297010756 339440864 387932416 594021512 678881728 775864832 1188043024 1357763456 1551729664 2376086048 2715526912 3103459328 4752172096 5431053824 9504344192 10862107648 19008688384 21724215296 38017376768 76034753536 152069507072