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1977231312 = 243278323633
BaseRepresentation
bin111010111011010…
…0010011111010000
312002210111202110100
41311312202133100
513022132400222
6524110532400
766666121530
oct16566423720
95083452410
101977231312
11925106171
12472207100
13256834974
1414a84d4c0
15b88b64ac
hex75da27d0

1977231312 has 120 divisors (see below), whose sum is σ = 6400465344. Its totient is φ = 558093312.

The previous prime is 1977231307. The next prime is 1977231337. The reversal of 1977231312 is 2131327791.

It is a happy number.

It is a super-2 number, since 2×19772313122 = 7818887322306482688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 71848 + ... + 95480.

Almost surely, 21977231312 is an apocalyptic number.

1977231312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200232672).

1977231312 is an abundant number, since it is smaller than the sum of its proper divisors (4423234032).

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

1977231312 is a wasteful number, since it uses less digits than its factorization.

1977231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23737 (or 23728 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 1977231312 is about 44466.0692213737. The cubic root of 1977231312 is about 1255.1216660617.

It can be divided in two parts, 1977 and 231312, that added together give a square (233289 = 4832).

The spelling of 1977231312 in words is "one billion, nine hundred seventy-seven million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 83 84 112 126 144 166 168 249 252 332 336 498 504 581 664 747 996 1008 1162 1328 1494 1743 1992 2324 2988 3486 3984 4648 5229 5976 6972 9296 10458 11952 13944 20916 23633 27888 41832 47266 70899 83664 94532 141798 165431 189064 212697 283596 330862 378128 425394 496293 567192 661724 850788 992586 1134384 1323448 1488879 1701576 1961539 1985172 2646896 2977758 3403152 3923078 3970344 5884617 5955516 7846156 7940688 11769234 11911032 13730773 15692312 17653851 23538468 23822064 27461546 31384624 35307702 41192319 47076936 54923092 70615404 82384638 94153872 109846184 123576957 141230808 164769276 219692368 247153914 282461616 329538552 494307828 659077104 988615656 1977231312