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1157261318172 = 2232156229205763
BaseRepresentation
bin10000110101110010001…
…001100101100000011100
311002122002112100010021200
4100311302021211200130
5122430032344140142
62243345530155500
7146416004621061
oct20656211454034
94078075303250
101157261318172
11406878931943
12168350582b90
138518b02716b
1440024338c68
1520182a7c64c
hex10d7226581c

1157261318172 has 36 divisors (see below), whose sum is σ = 2925332384520. Its totient is φ = 385749428832.

The previous prime is 1157261318149. The next prime is 1157261318197. The reversal of 1157261318172 is 2718131627511.

1157261318172 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 2 + 613 + 18 + 17 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5521363 + ... + 5727125.

Almost surely, 21157261318172 is an apocalyptic number.

1157261318172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1157261318172 is an abundant number, since it is smaller than the sum of its proper divisors (1768071066348).

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

1157261318172 is a wasteful number, since it uses less digits than its factorization.

1157261318172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362002 (or 361997 counting only the distinct ones).

The product of its digits is 141120, while the sum is 45.

The spelling of 1157261318172 in words is "one trillion, one hundred fifty-seven billion, two hundred sixty-one million, three hundred eighteen thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 156229 205763 312458 411526 468687 617289 624916 823052 937374 1234578 1406061 1851867 1874748 2469156 2812122 3703734 5624244 7407468 32146147727 64292295454 96438443181 128584590908 192876886362 289315329543 385753772724 578630659086 1157261318172