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1377114684 = 22311137271281
BaseRepresentation
bin101001000010101…
…0001101000111100
310112222021200012120
41102011101220330
510310020132214
6344352202540
746061165421
oct12205215074
93488250176
101377114684
11647388710
12325239450
1318c3c7c7a
14d0c75d48
1580d73ea9
hex52151a3c

1377114684 has 96 divisors (see below), whose sum is σ = 3556611072. Its totient is φ = 411264000.

The previous prime is 1377114659. The next prime is 1377114709. The reversal of 1377114684 is 4864117731.

It is an interprime number because it is at equal distance from previous prime (1377114659) and next prime (1377114709).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4900624 + ... + 4900904.

It is an arithmetic number, because the mean of its divisors is an integer number (37048032).

Almost surely, 21377114684 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 1377114684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778305536).

1377114684 is an abundant number, since it is smaller than the sum of its proper divisors (2179496388).

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

1377114684 is a wasteful number, since it uses less digits than its factorization.

1377114684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 705 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 1377114684 is about 37109.4958736979. The cubic root of 1377114684 is about 1112.5598157293.

The spelling of 1377114684 in words is "one billion, three hundred seventy-seven million, one hundred fourteen thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 137 271 274 281 411 542 548 562 813 822 843 1084 1124 1507 1626 1644 1686 2981 3014 3091 3252 3372 4521 5962 6028 6182 8943 9042 9273 11924 12364 17886 18084 18546 35772 37092 37127 38497 74254 76151 76994 111381 115491 148508 152302 153988 222762 228453 230982 304604 408397 423467 445524 456906 461964 816794 837661 846934 913812 1225191 1270401 1633588 1675322 1693868 2450382 2512983 2540802 3350644 4900764 5025966 5081604 10051932 10432687 20865374 31298061 41730748 62596122 114759557 125192244 229519114 344278671 459038228 688557342 1377114684