Search a number
-
+
16556510005152 = 25313103128800333
BaseRepresentation
bin1111000011101101110011…
…1001011100011110100000
32011121210020122112012210220
43300323130321130132200
54132230213030131102
655113542232523040
73326111516013555
oct360733471343640
964553218465726
1016556510005152
1153036382a8167
121a34919850480
1393137001a950
144134a72bca2c
151daa15b7e1bc
hexf0edce5c7a0

16556510005152 has 96 divisors (see below), whose sum is σ = 47258388148608. Its totient is φ = 5044851403776.

The previous prime is 16556510005129. The next prime is 16556510005163. The reversal of 16556510005152 is 25150001565561.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64271623 + ... + 64528710.

It is an arithmetic number, because the mean of its divisors is an integer number (492274876548).

Almost surely, 216556510005152 is an apocalyptic number.

16556510005152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16556510005152 is an abundant number, since it is smaller than the sum of its proper divisors (30701878143456).

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

16556510005152 is a wasteful number, since it uses less digits than its factorization.

16556510005152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128800462 (or 128800454 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 42.

The spelling of 16556510005152 in words is "sixteen trillion, five hundred fifty-six billion, five hundred ten million, five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 103 104 156 206 208 309 312 412 416 618 624 824 1236 1248 1339 1648 2472 2678 3296 4017 4944 5356 8034 9888 10712 16068 21424 32136 42848 64272 128544 128800333 257600666 386400999 515201332 772801998 1030402664 1545603996 1674404329 2060805328 3091207992 3348808658 4121610656 5023212987 6182415984 6697617316 10046425974 12364831968 13266434299 13395234632 20092851948 26532868598 26790469264 39799302897 40185703896 53065737196 53580938528 79598605794 80371407792 106131474392 159197211588 160742815584 172463645887 212262948784 318394423176 344927291774 424525897568 517390937661 636788846352 689854583548 1034781875322 1273577692704 1379709167096 2069563750644 2759418334192 4139127501288 5518836668384 8278255002576 16556510005152