Search a number
-
+
161995295574 = 23377310915381
BaseRepresentation
bin1001011011011110101…
…1000000101101010110
3120111010201201122222000
42112313223000231112
510123231243424244
6202230345220130
714463252202320
oct2266753005526
9514121648860
10161995295574
116277a137272
122748ba91646
13123787578a8
147baa906610
154331c21169
hex25b7ac0b56

161995295574 has 128 divisors (see below), whose sum is σ = 417512309760. Its totient is φ = 45600019200.

The previous prime is 161995295557. The next prime is 161995295593. The reversal of 161995295574 is 475592599161.

161995295574 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 9 + 52 + 9 + 5 + 574 = 666.

161995295574 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30102364 + ... + 30107744.

It is an arithmetic number, because the mean of its divisors is an integer number (3261814920).

Almost surely, 2161995295574 is an apocalyptic number.

161995295574 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161995295574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208756154880).

161995295574 is an abundant number, since it is smaller than the sum of its proper divisors (255517014186).

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

161995295574 is a wasteful number, since it uses less digits than its factorization.

161995295574 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6563 (or 6557 counting only the distinct ones).

The product of its digits is 30618000, while the sum is 63.

The spelling of 161995295574 in words is "one hundred sixty-one billion, nine hundred ninety-five million, two hundred ninety-five thousand, five hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1091 1314 1533 1971 2182 3066 3273 3942 4599 5381 6546 7637 9198 9819 10762 13797 15274 16143 19638 22911 27594 29457 32286 37667 45822 48429 58914 68733 75334 79643 96858 113001 137466 145287 159286 206199 226002 238929 290574 339003 392813 412398 477858 557501 678006 716787 785626 1017009 1115002 1178439 1433574 1672503 2034018 2150361 2356878 2749691 3345006 3535317 4300722 5017509 5499382 5870671 7070634 8249073 10035018 10605951 11741342 15052527 16498146 17612013 21211902 24747219 30105054 35224026 41094697 49494438 52836039 74241657 82189394 105672078 123284091 148483314 158508117 246568182 317016234 369852273 428558983 739704546 857117966 1109556819 1285676949 2219113638 2571353898 2999912881 3857030847 5999825762 7714061694 8999738643 11571092541 17999477286 23142185082 26999215929 53998431858 80997647787 161995295574