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1070353644020 = 2251722922876011
BaseRepresentation
bin11111001001101100000…
…11000111100111110100
310210022202210012211202022
433210312003013213310
5120014041013102040
62135414053132312
7140221234600553
oct17446603074764
93708683184668
101070353644020
11382a30800a51
1215353732a098
1379c1aa73bbb
1439b3bdd7d9a
151cc97e306b5
hexf9360c79f4

1070353644020 has 96 divisors (see below), whose sum is σ = 2391798689280. Its totient is φ = 400954890240.

The previous prime is 1070353643963. The next prime is 1070353644043. The reversal of 1070353644020 is 204463530701.

It is a super-2 number, since 2×10703536440202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178062815 + ... + 178068825.

It is an arithmetic number, because the mean of its divisors is an integer number (24914569680).

Almost surely, 21070353644020 is an apocalyptic number.

1070353644020 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 1070353644020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195899344640).

1070353644020 is an abundant number, since it is smaller than the sum of its proper divisors (1321445045260).

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

1070353644020 is a wasteful number, since it uses less digits than its factorization.

1070353644020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8553 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The spelling of 1070353644020 in words is "one trillion, seventy billion, three hundred fifty-three million, six hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 229 340 458 916 1145 2287 2290 3893 4574 4580 6011 7786 9148 11435 12022 15572 19465 22870 24044 30055 38879 38930 45740 60110 77758 77860 102187 120220 155516 194395 204374 388790 408748 510935 523723 777580 1021870 1047446 1376519 2043740 2094892 2618615 2753038 5237230 5506076 6882595 8903291 10474460 13747157 13765190 17806582 23400823 27494314 27530380 35613164 44516455 46801646 54988628 68735785 89032910 93603292 117004115 137471570 178065820 233701669 234008230 274943140 467403338 468016460 934806676 1168508345 2337016690 3148098953 4674033380 6296197906 12592395812 15740494765 31480989530 53517682201 62961979060 107035364402 214070728804 267588411005 535176822010 1070353644020