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10734352891024 = 2475321143319793
BaseRepresentation
bin1001110000110100100101…
…0010100111110010010000
31102000012020111202022212111
42130031021102213302100
52401332423320003044
634455143232035104
72155350162051130
oct234151122476220
942005214668774
1010734352891024
1134694603aa144
121254481092a94
135cb325737cc9
1429178ca12ac0
15139359d54b34
hex9c3494a7c90

10734352891024 has 160 divisors (see below), whose sum is σ = 24389595465984. Its totient is φ = 4481643479040.

The previous prime is 10734352891019. The next prime is 10734352891033. The reversal of 10734352891024 is 42019825343701.

It is an unprimeable number.

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, 542320872 + ... + 542340664.

Almost surely, 210734352891024 is an apocalyptic number.

10734352891024 is a gapful number since it is divisible by the number (14) 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 10734352891024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194797732992).

10734352891024 is an abundant number, since it is smaller than the sum of its proper divisors (13655242574960).

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

10734352891024 is a wasteful number, since it uses less digits than its factorization.

10734352891024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20505 (or 20499 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 10734352891024 in words is "ten trillion, seven hundred thirty-four billion, three hundred fifty-two million, eight hundred ninety-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 211 212 371 422 424 433 742 844 848 866 1477 1484 1688 1732 2954 2968 3031 3376 3464 5908 5936 6062 6928 11183 11816 12124 19793 22366 22949 23632 24248 39586 44732 45898 48496 78281 79172 89464 91363 91796 138551 156562 158344 160643 178928 182726 183592 277102 313124 316688 321286 365452 367184 554204 626248 639541 642572 730904 1049029 1108408 1252496 1279082 1285144 1461808 2098058 2216816 2558164 2570288 4176323 4196116 4842239 5116328 7343203 8352646 8392232 8570369 9684478 10232656 14686406 16705292 16784464 17140738 19368956 29234261 29372812 33410584 33895673 34281476 38737912 58468522 58745624 59992583 66821168 67791346 68562952 77475824 116937044 117491248 119985166 135582692 137125904 221345119 233874088 239970332 271165384 442690238 454229557 467748176 479940664 542330768 885380476 908459114 959881328 1549415833 1770760952 1808347859 1816918228 3098831666 3179606899 3541521904 3616695718 3633836456 6197663332 6359213798 7233391436 7267672912 12395326664 12658435013 12718427596 14466782872 24790653328 25316870026 25436855192 28933565744 50633740052 50873710384 95842436527 101267480104 191684873054 202534960208 383369746108 670897055689 766739492216 1341794111378 1533478984432 2683588222756 5367176445512 10734352891024