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2734413070632 = 2335915164319889
BaseRepresentation
bin100111110010100111101…
…110000100000100101000
3100200101222221121100220120
4213302213232010010220
5324300034221230012
65452101053523240
7401361206414415
oct47624756040450
910611887540816
102734413070632
1196472698a821
12381b454a3520
1316ab144547a9
14964bc35b10c
154b1dd32a58c
hex27ca7b84128

2734413070632 has 128 divisors (see below), whose sum is σ = 7009172352000. Its totient is φ = 888659481600.

The previous prime is 2734413070621. The next prime is 2734413070633. The reversal of 2734413070632 is 2360703144372.

It is not an unprimeable number, because it can be changed into a prime (2734413070633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137473744 + ... + 137493632.

It is an arithmetic number, because the mean of its divisors is an integer number (54759159000).

Almost surely, 22734413070632 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 2734413070632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504586176000).

2734413070632 is an abundant number, since it is smaller than the sum of its proper divisors (4274759281368).

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

2734413070632 is a wasteful number, since it uses less digits than its factorization.

2734413070632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20751 (or 20747 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 42.

The spelling of 2734413070632 in words is "two trillion, seven hundred thirty-four billion, four hundred thirteen million, seventy thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 59 118 151 177 236 302 354 453 472 604 643 708 906 1208 1286 1416 1812 1929 2572 3624 3858 5144 7716 8909 15432 17818 19889 26727 35636 37937 39778 53454 59667 71272 75874 79556 97093 106908 113811 119334 151748 159112 194186 213816 227622 238668 291279 303496 388372 455244 477336 582558 776744 910488 1165116 1173451 2330232 2346902 3003239 3520353 4693804 5728487 6006478 7040706 9009717 9387608 11456974 12012956 12788627 14081412 17185461 18019434 22913948 24025912 25577254 28162824 34370922 36038868 38365881 45827896 51154508 68741844 72077736 76731762 102309016 137483688 153463524 177191101 306927048 354382202 531573303 708764404 754528993 1063146606 1417528808 1509057986 1931082677 2126293212 2263586979 3018115972 3862165354 4252586424 4527173958 5793248031 6036231944 7724330708 9054347916 11586496062 15448661416 18108695832 23172992124 46345984248 113933877943 227867755886 341801633829 455735511772 683603267658 911471023544 1367206535316 2734413070632