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31220769636 = 2232746012
BaseRepresentation
bin11101000100111001…
…110010001101100100
32222120211101102111100
4131010321302031210
51002420004112021
622202001240100
72153452110000
oct350471621544
988524342440
1031220769636
1112271346361
126073933030
132c3727c0b4
141722623700
15c2adb8626
hex744e72364

31220769636 has 135 divisors (see below), whose sum is σ = 92220328473. Its totient is φ = 8905377600.

The previous prime is 31220769623. The next prime is 31220769649. The reversal of 31220769636 is 63696702213.

The square root of 31220769636 is 176694.

It is a perfect power (a square), and thus also a powerful number.

31220769636 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 0 + 7 + 6 + 9 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (31220769623) and next prime (31220769649).

It can be written as a sum of positive squares in only one way, i.e., 26242056036 + 4978713600 = 161994^2 + 70560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31220769591 and 31220769600.

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 44 ways as a sum of consecutive naturals, for example, 51947736 + ... + 51948336.

Almost surely, 231220769636 is an apocalyptic number.

31220769636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

31220769636 is the 176694-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31220769636

31220769636 is an abundant number, since it is smaller than the sum of its proper divisors (60999558837).

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

31220769636 is an frugal number, since it uses more digits than its factorization.

31220769636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 31220769636 in words is "thirty-one billion, two hundred twenty million, seven hundred sixty-nine thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 601 686 882 1029 1202 1372 1764 1803 2058 2401 2404 3087 3606 4116 4207 4802 5409 6174 7203 7212 8414 9604 10818 12348 12621 14406 16828 21609 21636 25242 28812 29449 37863 43218 50484 58898 75726 86436 88347 117796 151452 176694 206143 265041 353388 361201 412286 530082 618429 722402 824572 1060164 1083603 1236858 1443001 1444804 1855287 2167206 2473716 2528407 2886002 3250809 3710574 4329003 4334412 5056814 5772004 6501618 7421148 7585221 8658006 10113628 12987009 13003236 15170442 17316012 17698849 22755663 25974018 30340884 35397698 45511326 51948036 53096547 70795396 91022652 106193094 123891943 159289641 212386188 247783886 318579282 371675829 495567772 637158564 743351658 867243601 1115027487 1486703316 1734487202 2230054974 2601730803 3468974404 4460109948 5203461606 7805192409 10406923212 15610384818 31220769636