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33996243987472 = 241317919319872381
BaseRepresentation
bin1111011101011010111100…
…00010111110110000010000
311110101000020200210020212011
413232231132002332300100
513423443301430044342
6200145354152512304
710106101421666434
oct756553602766020
9143330220706764
1033996243987472
11a9177a94a5938
1239908493ab694
1315c7aa8032060
148575d99289c4
153de4c1156717
hex1eeb5e0bec10

33996243987472 has 160 divisors (see below), whose sum is σ = 71766555396480. Its totient is φ = 15507745505280.

The previous prime is 33996243987413. The next prime is 33996243987577. The reversal of 33996243987472 is 27478934269933.

It is a super-2 number, since 2×339962439874722 (a number of 28 digits) contains 22 as substring.

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, 14278135722 + ... + 14278138102.

It is an arithmetic number, because the mean of its divisors is an integer number (448540971228).

Almost surely, 233996243987472 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 33996243987472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35883277698240).

33996243987472 is an abundant number, since it is smaller than the sum of its proper divisors (37770311409008).

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

33996243987472 is a wasteful number, since it uses less digits than its factorization.

33996243987472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4755 counting only the distinct ones).

The product of its digits is 2962842624, while the sum is 76.

The spelling of 33996243987472 in words is "thirty-three trillion, nine hundred ninety-six billion, two hundred forty-three million, nine hundred eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 52 104 179 193 208 358 386 716 772 1432 1544 1987 2327 2381 2509 2864 3088 3974 4654 4762 5018 7948 9308 9524 10036 15896 18616 19048 20072 25831 30953 31792 34547 37232 38096 40144 51662 61906 69094 103324 123812 138188 206648 247624 276376 355673 383491 413296 426199 449111 459533 495248 552752 711346 766982 852398 898222 919066 1422692 1533964 1704796 1796444 1838132 2845384 3067928 3409592 3592888 3676264 4623749 4731047 4985383 5540587 5690768 5973929 6135856 6819184 7185776 7352528 9247498 9462094 9970766 11081174 11947858 18494996 18924188 19941532 22162348 23895716 36989992 37848376 39883064 44324696 47791432 61503611 68644889 73979984 75696752 79766128 82256407 88649392 95582864 123007222 137289778 164512814 246014444 274579556 329025628 492028888 549159112 658051256 846857413 892383557 913092071 984057776 1069333291 1098318224 1316102512 1693714826 1784767114 1826184142 2138666582 3387429652 3569534228 3652368284 4277333164 6774859304 7139068456 7304736568 8554666328 11009146369 11870196923 13549718608 14278136912 14609473136 17109332656 22018292738 23740393846 44036585476 47480787692 88073170952 94961575384 163443480709 176146341904 189923150768 326886961418 653773922836 1307547845672 2124765249217 2615095691344 4249530498434 8499060996868 16998121993736 33996243987472