Search a number
-
+
46395427155 = 35711234913557
BaseRepresentation
bin101011001101011000…
…100000100101010011
311102202101011220020220
4223031120200211103
51230004212132110
633151435004123
73231502424010
oct531530404523
9142671156226
1046395427155
1118749011130
128ba9899643
1344b504b39c
142361b10707
1513181cd370
hexacd620953

46395427155 has 128 divisors (see below), whose sum is σ = 96797638656. Its totient is φ = 18400166400.

The previous prime is 46395427123. The next prime is 46395427159. The reversal of 46395427155 is 55172459364.

It is not a de Polignac number, because 46395427155 - 25 = 46395427123 is a prime.

It is a super-2 number, since 2×463954271552 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46395427098 and 46395427107.

It is not an unprimeable number, because it can be changed into a prime (46395427159) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13041637 + ... + 13045193.

It is an arithmetic number, because the mean of its divisors is an integer number (756231552).

Almost surely, 246395427155 is an apocalyptic number.

46395427155 is an abundant number, since it is smaller than the sum of its proper divisors (50402211501).

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

46395427155 is a wasteful number, since it uses less digits than its factorization.

46395427155 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4097.

The product of its digits is 4536000, while the sum is 51.

The spelling of 46395427155 in words is "forty-six billion, three hundred ninety-five million, four hundred twenty-seven thousand, one hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 23 33 35 55 69 77 105 115 161 165 231 253 345 385 483 491 759 805 1155 1265 1473 1771 2415 2455 3437 3557 3795 5313 5401 7365 8855 10311 10671 11293 16203 17185 17785 24899 26565 27005 33879 37807 39127 51555 53355 56465 74697 79051 81015 81811 113421 117381 124223 124495 169395 189035 195635 237153 245433 273889 372669 373485 395255 409055 567105 572677 586905 621115 821667 869561 899921 1185765 1227165 1369445 1718031 1746487 1863345 2608683 2699763 2863385 4108335 4347805 4499605 5239461 6299447 8590155 8732435 12225409 13043415 13498815 18898341 19211357 26197305 31497235 36676227 40169201 57634071 61127045 94491705 96056785 120507603 134479499 183381135 200846005 281184407 288170355 403438497 441861211 602538015 672397495 843553221 1325583633 1405922035 2017192485 2209306055 3093028477 4217766105 6627918165 9279085431 15465142385 46395427155