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1361212533432 = 233317491754991
BaseRepresentation
bin10011110011101110100…
…101101110101010111000
311211010112020112100011000
4103303232211232222320
5134300230402032212
62521155444405000
7200226054425103
oct23635645565270
94733466470130
101361212533432
11485317a965a4
1219b98b3a6760
139b491b1681b
1449c510b173a
152561cd3c1dc
hex13cee96eab8

1361212533432 has 128 divisors (see below), whose sum is σ = 4011725491200. Its totient is φ = 426176755200.

The previous prime is 1361212533427. The next prime is 1361212533469. The reversal of 1361212533432 is 2343352121631.

1361212533432 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 212 + 5 + 3 + 3 + 432 = 666.

It is a super-2 number, since 2×13612125334322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425457 + ... + 2180447.

It is an arithmetic number, because the mean of its divisors is an integer number (31341605400).

Almost surely, 21361212533432 is an apocalyptic number.

1361212533432 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 1361212533432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005862745600).

1361212533432 is an abundant number, since it is smaller than the sum of its proper divisors (2650512957768).

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

1361212533432 is a wasteful number, since it uses less digits than its factorization.

1361212533432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755514 (or 755504 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 1361212533432 in words is "one trillion, three hundred sixty-one billion, two hundred twelve million, five hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 491 612 918 982 1224 1473 1836 1964 2946 3672 3928 4419 5892 8347 8838 11784 13257 16694 17676 25041 26514 33388 35352 50082 53028 66776 75123 100164 106056 150246 200328 225369 300492 450738 600984 754991 901476 1509982 1802952 2264973 3019964 4529946 6039928 6794919 9059892 12834847 13589838 18119784 20384757 25669694 27179676 38504541 40769514 51339388 54359352 77009082 81539028 102678776 115513623 154018164 163078056 231027246 308036328 346540869 370700581 462054492 693081738 741401162 924108984 1112101743 1386163476 1482802324 2224203486 2772326952 2965604648 3336305229 4448406972 6301909877 6672610458 8896813944 10008915687 12603819754 13345220916 18905729631 20017831374 25207639508 26690441832 37811459262 40035662748 50415279016 56717188893 75622918524 80071325496 113434377786 151245837048 170151566679 226868755572 340303133358 453737511144 680606266716 1361212533432