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1070342608192 = 261113155375307
BaseRepresentation
bin11111001001101010110…
…01000001010101000000
310210022202000110011102221
433210311121001111000
5120014030201430232
62135413020420424
7140221042025254
oct17446531012500
93708660404387
101070342608192
11382a25553630
121535336a7714
1379c186aba20
1439b3a764264
151cc96ea0897
hexf935641540

1070342608192 has 112 divisors (see below), whose sum is σ = 2496922892352. Its totient is φ = 448799662080.

The previous prime is 1070342608183. The next prime is 1070342608207. The reversal of 1070342608192 is 2918062430701.

It is a super-2 number, since 2×10703426081922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14175403 + ... + 14250709.

It is an arithmetic number, because the mean of its divisors is an integer number (22293954396).

Almost surely, 21070342608192 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 1070342608192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248461446176).

1070342608192 is an abundant number, since it is smaller than the sum of its proper divisors (1426580284160).

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

1070342608192 is a wasteful number, since it uses less digits than its factorization.

1070342608192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76896 (or 76886 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 1070342608192 in words is "one trillion, seventy billion, three hundred forty-two million, six hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 1553 2288 3106 4576 6212 9152 12424 17083 20189 24848 34166 40378 49696 68332 75307 80756 99392 136664 150614 161512 222079 273328 301228 323024 444158 546656 602456 646048 828377 888316 978991 1093312 1204912 1292096 1656754 1776632 1957982 2409824 3313508 3553264 3915964 4819648 6627016 7106528 7831928 10768901 13254032 14213056 15663856 21537802 26508064 31327712 43075604 53016128 62655424 86151208 116951771 172302416 233903542 344604832 467807084 689209664 935614168 1286469481 1520373023 1871228336 2572938962 3040746046 3742456672 5145877924 6081492092 7484913344 10291755848 12162984184 16724103253 20583511696 24325968368 33448206506 41167023392 48651936736 66896413012 82334046784 97303873472 133792826024 267585652048 535171304096 1070342608192