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1377997731 = 33112463911
BaseRepresentation
bin101001000100010…
…1001001110100011
310120000221112112000
41102020221032203
510310231411411
6344423135043
746101534045
oct12210511643
93500845460
101377997731
11647931100
123255a4483
1318c646b96
14d1025a95
1580e9a956
hex522293a3

1377997731 has 48 divisors (see below), whose sum is σ = 2251253760. Its totient is φ = 832431600.

The previous prime is 1377997723. The next prime is 1377997739.

1377997731 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1377997723) and next prime (1377997739).

It is not a de Polignac number, because 1377997731 - 23 = 1377997723 is a prime.

It is a super-2 number, since 2×13779977312 = 3797755493282296722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377997739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1512166 + ... + 1513076.

It is an arithmetic number, because the mean of its divisors is an integer number (46901120).

Almost surely, 21377997731 is an apocalyptic number.

1377997731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1377997731 is a deficient number, since it is larger than the sum of its proper divisors (873256029).

1377997731 is a wasteful number, since it uses less digits than its factorization.

1377997731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1388 counting only the distinct ones).

The product of its digits is 1750329, while the sum is 54.

The square root of 1377997731 is about 37121.3918246609. The cubic root of 1377997731 is about 1112.7975670953.

It can be divided in two parts, 137799 and 7731, that added together give a triangular number (145530 = T539).

The spelling of 1377997731 in words is "one billion, three hundred seventy-seven million, nine hundred ninety-seven thousand, seven hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 463 911 1089 1389 2733 3267 4167 5093 8199 10021 12501 15279 24597 30063 45837 56023 90189 110231 137511 168069 270567 330693 421793 504207 992079 1265379 1512621 2976237 3796137 4639723 11388411 13919169 41757507 51036953 125272521 153110859 459332577 1377997731