Search a number
-
+
2901277055052 = 223213144910971249
BaseRepresentation
bin101010001110000001100…
…101101001100001001100
3101021100200222122001101200
4222032001211221201030
5340013303411230202
610100454524105500
7416416231033125
oct52160145514114
911240628561350
102901277055052
11a19474296a82
123aa353995290
1318078778374c
14a05cb70304c
15507076b5e1c
hex2a38196984c

2901277055052 has 144 divisors (see below), whose sum is σ = 7418911500000. Its totient is φ = 955933655040.

The previous prime is 2901277054987. The next prime is 2901277055059. The reversal of 2901277055052 is 2505507721092.

2901277055052 is a `hidden beast` number, since 2 + 9 + 0 + 1 + 27 + 70 + 550 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2901277054989 and 2901277055007.

It is not an unprimeable number, because it can be changed into a prime (2901277055059) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2322879324 + ... + 2322880572.

It is an arithmetic number, because the mean of its divisors is an integer number (51520218750).

Almost surely, 22901277055052 is an apocalyptic number.

It is an amenable number.

2901277055052 is an abundant number, since it is smaller than the sum of its proper divisors (4517634444948).

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

2901277055052 is a wasteful number, since it uses less digits than its factorization.

2901277055052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 2901277055052 in words is "two trillion, nine hundred one billion, two hundred seventy-seven million, fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 449 524 786 898 1097 1179 1249 1347 1572 1796 2194 2358 2498 2694 3291 3747 4041 4388 4716 4996 5388 6582 7494 8082 9873 11241 13164 14988 16164 19746 22482 39492 44964 58819 117638 143707 163619 176457 235276 287414 327238 352914 431121 490857 492553 529371 560801 574828 654476 705828 862242 981714 985106 1058742 1121602 1293363 1370153 1472571 1477659 1682403 1724484 1963428 1970212 2117484 2243204 2586726 2740306 2945142 2955318 3364806 4110459 4432977 5047209 5173452 5480612 5890284 5910636 6729612 8220918 8865954 10094418 12331377 16441836 17731908 20188836 24662754 49325508 64524443 73464931 129048886 146929862 179490043 193573329 220394793 258097772 293859724 358980086 387146658 440789586 538470129 580719987 615198697 661184379 717960172 774293316 881579172 1076940258 1161439974 1230397394 1322368758 1615410387 1845596091 2153880516 2322879948 2460794788 2644737516 3230820774 3691192182 5536788273 6461641548 7382384364 11073576546 22147153092 80591029307 161182058614 241773087921 322364117228 483546175842 725319263763 967092351684 1450638527526 2901277055052