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5740029974688 = 253311928773513
BaseRepresentation
bin101001110000111010001…
…1100101001100010100000
3202022202000120001221012020
41103201310130221202200
51223021040133142223
620112533335101440
71131463202521212
oct123416434514240
922282016057166
105740029974688
111913373307669
12788558511880
1332838987a059
1415bb6721c5b2
159e4a0c321e3
hex538747298a0

5740029974688 has 48 divisors (see below), whose sum is σ = 15553629616896. Its totient is φ = 1851622571520.

The previous prime is 5740029974681. The next prime is 5740029974689. The reversal of 5740029974688 is 8864799200475.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×57400299746882 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5740029974681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 964383781 + ... + 964389732.

It is an arithmetic number, because the mean of its divisors is an integer number (324033950352).

Almost surely, 25740029974688 is an apocalyptic number.

It is an amenable number.

5740029974688 is an abundant number, since it is smaller than the sum of its proper divisors (9813599642208).

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

5740029974688 is a wasteful number, since it uses less digits than its factorization.

5740029974688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928773557 (or 1928773549 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 69.

The spelling of 5740029974688 in words is "five trillion, seven hundred forty billion, twenty-nine million, nine hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 1928773513 3857547026 5786320539 7715094052 11572641078 15430188104 23145282156 30860376208 46290564312 59791978903 61720752416 92581128624 119583957806 179375936709 185162257248 239167915612 358751873418 478335831224 717503746836 956671662448 1435007493672 1913343324896 2870014987344 5740029974688