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2855146968 = 23356124077
BaseRepresentation
bin1010101000101110…
…0001010111011000
321100222110111100000
42222023201113120
521321404200333
61151151413000
7130516230432
oct25213412730
97328414300
102855146968
1112357241a3
12678224160
1336669829b
141d129b652
1511a9ce713
hexaa2e15d8

2855146968 has 96 divisors (see below), whose sum is σ = 8150884560. Its totient is φ = 936074880.

The previous prime is 2855146951. The next prime is 2855146969. The reversal of 2855146968 is 8696415582.

2855146968 is a `hidden beast` number, since 2 + 8 + 5 + 514 + 69 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2855146969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106546 + ... + 130622.

Almost surely, 22855146968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2855146968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075442280).

2855146968 is an abundant number, since it is smaller than the sum of its proper divisors (5295737592).

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

2855146968 is a wasteful number, since it uses less digits than its factorization.

2855146968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24159 (or 24143 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 2855146968 is about 53433.5752874539. The cubic root of 2855146968 is about 1418.6529194170.

The spelling of 2855146968 in words is "two billion, eight hundred fifty-five million, one hundred forty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 243 244 324 366 486 488 549 648 732 972 1098 1464 1647 1944 2196 3294 4392 4941 6588 9882 13176 14823 19764 24077 29646 39528 48154 59292 72231 96308 118584 144462 192616 216693 288924 433386 577848 650079 866772 1300158 1468697 1733544 1950237 2600316 2937394 3900474 4406091 5200632 5850711 5874788 7800948 8812182 11701422 11749576 13218273 15601896 17624364 23402844 26436546 35248728 39654819 46805688 52873092 79309638 105746184 118964457 158619276 237928914 317238552 356893371 475857828 713786742 951715656 1427573484 2855146968