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1122056007648 = 25343171937717
BaseRepresentation
bin10000010100111111101…
…111111110111111100000
310222021020000100001020220
4100110333233332333200
5121340432314221043
62215244310203040
7144031410461562
oct20247757767740
93867200301226
101122056007648
113a2952400a94
12161566353480
1381a6a409c84
143c444867332
151e2c1e94483
hex1053fbfefe0

1122056007648 has 96 divisors (see below), whose sum is σ = 2956415293440. Its totient is φ = 372622010880.

The previous prime is 1122056007643. The next prime is 1122056007661. The reversal of 1122056007648 is 8467006502211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122056007643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29730486 + ... + 29768202.

It is an arithmetic number, because the mean of its divisors is an integer number (30795992640).

Almost surely, 21122056007648 is an apocalyptic number.

It is an amenable number.

1122056007648 is an abundant number, since it is smaller than the sum of its proper divisors (1834359285792).

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

1122056007648 is a wasteful number, since it uses less digits than its factorization.

1122056007648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38880 (or 38872 counting only the distinct ones).

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

The spelling of 1122056007648 in words is "one trillion, one hundred twenty-two billion, fifty-six million, seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 431 719 862 1293 1438 1724 2157 2586 2876 3448 4314 5172 5752 6896 8628 10344 11504 13792 17256 20688 23008 34512 37717 41376 69024 75434 113151 150868 226302 301736 309889 452604 603472 619778 905208 929667 1206944 1239556 1810416 1859334 2479112 3620832 3718668 4958224 7437336 9916448 14874672 16256027 27118523 29749344 32512054 48768081 54237046 65024108 81355569 97536162 108474092 130048216 162711138 195072324 216948184 260096432 325422276 390144648 433896368 520192864 650844552 780289296 867792736 1301689104 1560578592 2603378208 11688083413 23376166826 35064250239 46752333652 70128500478 93504667304 140257000956 187009334608 280514001912 374018669216 561028003824 1122056007648