Search a number
-
+
151165100501556 = 223595213019135743
BaseRepresentation
bin100010010111101111011110…
…000111100010101000110100
3201211020020112202121200200120
4202113233132013202220310
5124303142111212022211
61253300142151211540
743561214052464511
oct4227573607425064
9654206482550616
10151165100501556
1144190839404659
1214b54986376bb0
136646a669bab0b
14294860391a308
1512722402dcd06
hex897bde1e2a34

151165100501556 has 96 divisors (see below), whose sum is σ = 359507015884800. Its totient is φ = 49422511107840.

The previous prime is 151165100501537. The next prime is 151165100501557. The reversal of 151165100501556 is 655105001561151.

It is a super-2 number, since 2×1511651005015562 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151165100501557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1113544621 + ... + 1113680363.

It is an arithmetic number, because the mean of its divisors is an integer number (3744864748800).

Almost surely, 2151165100501556 is an apocalyptic number.

It is an amenable number.

151165100501556 is an abundant number, since it is smaller than the sum of its proper divisors (208341915383244).

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

151165100501556 is a wasteful number, since it uses less digits than its factorization.

151165100501556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139349 (or 139347 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 42.

The spelling of 151165100501556 in words is "one hundred fifty-one trillion, one hundred sixty-five billion, one hundred million, five hundred one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 59 118 177 236 354 521 708 1042 1563 2084 3019 3126 6038 6252 9057 12076 18114 30739 36228 61478 92217 122956 135743 178121 184434 271486 356242 368868 407229 534363 542972 712484 814458 1068726 1572899 1628916 2137452 3145798 4718697 6291596 8008837 9437394 16017674 18874788 24026511 32035348 48053022 70722103 92801041 96106044 141444206 185602082 212166309 278403123 282888412 371204164 409808117 424332618 556806246 819616234 848665236 1113612492 1229424351 1639232468 2458848702 4172604077 4917697404 8345208154 12517812231 16690416308 24178678903 25035624462 48357357806 50071248924 72536036709 96714715612 145072073418 213510028957 290144146836 427020057914 640530086871 854040115828 1281060173742 2562120347484 12597091708463 25194183416926 37791275125389 50388366833852 75582550250778 151165100501556