Search a number
-
+
5402001439872 = 27328635433647
BaseRepresentation
bin100111010011100000001…
…1000000111110010000000
3201010102111202202011202200
41032213000120013302000
51202001244332033442
615253351210313200
71065165426422622
oct116470030076200
921112452664680
105402001439872
1117a2a80a8a2a4
12732b3b428800
1330253926214b
1414965b69ac12
15957b9bb434c
hex4e9c0607c80

5402001439872 has 96 divisors (see below), whose sum is σ = 15562837255680. Its totient is φ = 1798580295168.

The previous prime is 5402001439859. The next prime is 5402001439873. The reversal of 5402001439872 is 2789341002045.

5402001439872 is a `hidden beast` number, since 5 + 4 + 0 + 200 + 1 + 439 + 8 + 7 + 2 = 666.

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

It is a super-2 number, since 2×54020014398722 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5402001439873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1722648 + ... + 3710999.

It is an arithmetic number, because the mean of its divisors is an integer number (162112888080).

Almost surely, 25402001439872 is an apocalyptic number.

It is an amenable number.

5402001439872 is an abundant number, since it is smaller than the sum of its proper divisors (10160835815808).

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

5402001439872 is a wasteful number, since it uses less digits than its factorization.

5402001439872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5434530 (or 5434515 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5402001439872 in words is "five trillion, four hundred two billion, one million, four hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 863 1152 1726 2589 3452 5178 6904 7767 10356 13808 15534 20712 27616 31068 41424 55232 62136 82848 110464 124272 165696 248544 331392 497088 994176 5433647 10867294 16300941 21734588 32601882 43469176 48902823 65203764 86938352 97805646 130407528 173876704 195611292 260815056 347753408 391222584 521630112 695506816 782445168 1043260224 1564890336 2086520448 3129780672 4689237361 6259561344 9378474722 14067712083 18756949444 28135424166 37513898888 42203136249 56270848332 75027797776 84406272498 112541696664 150055595552 168812544996 225083393328 300111191104 337625089992 450166786656 600222382208 675250179984 900333573312 1350500359968 1800667146624 2701000719936 5402001439872