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5766052071040 = 27529833743023
BaseRepresentation
bin101001111101000001101…
…1111000100011010000000
3202102020012002020101121121
41103322003133010122000
51223432333312233130
620132515431002024
71133404100633302
oct123720337043200
922366162211547
105766052071040
111923407089818
127915bb209314
1332a975a890c1
1415d115225972
159eec54ecd7a
hex53e837c4680

5766052071040 has 128 divisors (see below), whose sum is σ = 14431603334400. Its totient is φ = 2200058499072.

The previous prime is 5766052071019. The next prime is 5766052071083. The reversal of 5766052071040 is 401702506675.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 331032 + ... + 3411991.

It is an arithmetic number, because the mean of its divisors is an integer number (112746901050).

Almost surely, 25766052071040 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 5766052071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215801667200).

5766052071040 is an abundant number, since it is smaller than the sum of its proper divisors (8665551263360).

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

5766052071040 is a wasteful number, since it uses less digits than its factorization.

5766052071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743154 (or 3743142 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 5766052071040 in words is "five trillion, seven hundred sixty-six billion, fifty-two million, seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 83 116 128 145 160 166 232 290 320 332 415 464 580 640 664 830 928 1160 1328 1660 1856 2320 2407 2656 3320 3712 4640 4814 5312 6640 9280 9628 10624 12035 13280 18560 19256 24070 26560 38512 48140 53120 77024 96280 154048 192560 308096 385120 770240 1540480 3743023 7486046 14972092 18715115 29944184 37430230 59888368 74860460 108547667 119776736 149720920 217095334 239553472 299441840 310670909 434190668 479106944 542738335 598883680 621341818 868381336 1085476670 1197767360 1242683636 1553354545 1736762672 2170953340 2395534720 2485367272 3106709090 3473525344 4341906680 4970734544 6213418180 6947050688 8683813360 9009456361 9941469088 12426836360 13894101376 17367626720 18018912722 19882938176 24853672720 34735253440 36037825444 39765876352 45047281805 49707345440 69470506880 72075650888 90094563610 99414690880 144151301776 180189127220 198829381760 288302603552 360378254440 576605207104 720756508880 1153210414208 1441513017760 2883026035520 5766052071040