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1157170217052 = 223478324719521
BaseRepresentation
bin10000110101101100101…
…110000100000001011100
311002121212011220201001010
4100311230232010001130
5122424341033421202
62243332513415220
7146413520361123
oct20655456040134
94077764821033
101157170217052
11406831469263
12168325b6a510
13851751aac85
14400161c2aba
1520179a8476c
hex10d6cb8405c

1157170217052 has 48 divisors (see below), whose sum is σ = 2790735155712. Its totient is φ = 372968117760.

The previous prime is 1157170217051. The next prime is 1157170217059. The reversal of 1157170217052 is 2507120717511.

It is a super-3 number, since 3×11571702170523 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1157170217052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157170217051) 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 15 ways as a sum of consecutive naturals, for example, 12312949 + ... + 12406572.

It is an arithmetic number, because the mean of its divisors is an integer number (58140315744).

Almost surely, 21157170217052 is an apocalyptic number.

1157170217052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1157170217052 is an abundant number, since it is smaller than the sum of its proper divisors (1633564938660).

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

1157170217052 is a wasteful number, since it uses less digits than its factorization.

1157170217052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24719658 (or 24719656 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 39.

The spelling of 1157170217052 in words is "one trillion, one hundred fifty-seven billion, one hundred seventy million, two hundred seventeen thousand, fifty-two".

Divisors: 1 2 3 4 6 12 47 83 94 141 166 188 249 282 332 498 564 996 3901 7802 11703 15604 23406 46812 24719521 49439042 74158563 98878084 148317126 296634252 1161817487 2051720243 2323634974 3485452461 4103440486 4647269948 6155160729 6970904922 8206880972 12310321458 13941809844 24620642916 96430851421 192861702842 289292554263 385723405684 578585108526 1157170217052