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2732240001152 = 271911013110323
BaseRepresentation
bin100111110000100110001…
…100011101100010000000
3100200012101111120222222202
4213300212030131202000
5324231111420014102
65451101305252332
7401253311551034
oct47604614354200
910605344528882
102732240001152
11963811284532
123816397940a8
1316a859191c6c
14963538d01c4
154b11267ce02
hex27c2631d880

2732240001152 has 64 divisors (see below), whose sum is σ = 5477083522560. Its totient is φ = 1357613706240.

The previous prime is 2732240001143. The next prime is 2732240001181. The reversal of 2732240001152 is 2511000422372.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×27322400011522 (a number of 26 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 24710663 + ... + 24820985.

It is an arithmetic number, because the mean of its divisors is an integer number (85579430040).

Almost surely, 22732240001152 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 2732240001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738541761280).

2732240001152 is an abundant number, since it is smaller than the sum of its proper divisors (2744843521408).

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

2732240001152 is a wasteful number, since it uses less digits than its factorization.

2732240001152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111541 (or 111529 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The spelling of 2732240001152 in words is "two trillion, seven hundred thirty-two billion, two hundred forty million, one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 1013 1528 2026 3056 4052 6112 8104 12224 16208 24448 32416 64832 110323 129664 193483 220646 386966 441292 773932 882584 1547864 1765168 3095728 3530336 6191456 7060672 12382912 14121344 21071693 24765824 42143386 84286772 111757199 168573544 223514398 337147088 447028796 674294176 894057592 1348588352 1788115184 2697176704 3576230368 7152460736 14304921472 21345625009 42691250018 85382500036 170765000072 341530000144 683060000288 1366120000576 2732240001152