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1070667780640 = 25553547230819
BaseRepresentation
bin11111001010010001100…
…01011101001000100000
310210100120200022122011221
433211020301131020200
5120020211422440030
62135505154144424
7140232100656013
oct17451061351040
93710520278157
101070667780640
11383082060497
12153604582114
1379c6ab81363
1439b6ba0b37a
151ccb57d2e7a
hexf948c5d220

1070667780640 has 96 divisors (see below), whose sum is σ = 2581900816320. Its totient is φ = 419416617984.

The previous prime is 1070667780629. The next prime is 1070667780641. The reversal of 1070667780640 is 460877660701.

It is a super-2 number, since 2×10706677806402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1070667780641) by changing a digit.

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, 4523151 + ... + 4753969.

It is an arithmetic number, because the mean of its divisors is an integer number (26894800170).

Almost surely, 21070667780640 is an apocalyptic number.

1070667780640 is a gapful number since it is divisible by the number (10) 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 1070667780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290950408160).

1070667780640 is an abundant number, since it is smaller than the sum of its proper divisors (1511233035680).

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

1070667780640 is a wasteful number, since it uses less digits than its factorization.

1070667780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231434 (or 231426 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 1070667780640 in words is "one trillion, seventy billion, six hundred sixty-seven million, seven hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 547 848 1060 1094 1696 2120 2188 2735 4240 4376 5470 8480 8752 10940 17504 21880 28991 43760 57982 87520 115964 144955 230819 231928 289910 461638 463856 579820 923276 927712 1154095 1159640 1846552 2308190 2319280 3693104 4616380 4638560 7386208 9232760 12233407 18465520 24466814 36931040 48933628 61167035 97867256 122334070 126257993 195734512 244668140 252515986 391469024 489336280 505031972 631289965 978672560 1010063944 1262579930 1957345120 2020127888 2525159860 4040255776 5050319720 6691673629 10100639440 13383347258 20201278880 26766694516 33458368145 53533389032 66916736290 107066778064 133833472580 214133556128 267666945160 535333890320 1070667780640