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1981146357 = 34173146411
BaseRepresentation
bin111011000010101…
…1110010011110101
312010001212122220000
41312011132103311
513024133140412
6524330501513
7100044315621
oct16605362365
95101778800
101981146357
1192733a643
12473594899
132575a5968
1414b18c181
15b8ddb4dc
hex7615e4f5

1981146357 has 40 divisors (see below), whose sum is σ = 3234730752. Its totient is φ = 1202947200.

The previous prime is 1981146337. The next prime is 1981146361. The reversal of 1981146357 is 7536411891.

1981146357 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 1 + 4 + 635 + 7 = 666.

It is not a de Polignac number, because 1981146357 - 220 = 1980097781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981146317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19482 + ... + 65892.

Almost surely, 21981146357 is an apocalyptic number.

1981146357 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1981146357 is a deficient number, since it is larger than the sum of its proper divisors (1253584395).

1981146357 is a wasteful number, since it uses less digits than its factorization.

1981146357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46471 (or 46462 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 1981146357 is about 44510.0702875203. The cubic root of 1981146357 is about 1255.9495270686.

The spelling of 1981146357 in words is "one billion, nine hundred eighty-one million, one hundred forty-six thousand, three hundred fifty-seven".

Divisors: 1 3 9 17 27 31 51 81 93 153 279 459 527 837 1377 1581 2511 4743 14229 42687 46411 139233 417699 788987 1253097 1438741 2366961 3759291 4316223 7100883 12948669 21302649 24458597 38846007 63907947 73375791 116538021 220127373 660382119 1981146357