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766550252430040 = 235132636418744269
BaseRepresentation
bin1010111001001011000110001…
…1011111111010001011011000
310201112010111012002011102122111
42232102301203133322023120
51300433124404110230130
611314152154032002104
7320314266564520261
oct25622614337721330
93645114162142574
10766550252430040
11202279155633591
1271b826a8690334
1326b954bcb320c0
14d741331869968
155d94ae7c1502a
hex2b92c637fa2d8

766550252430040 has 128 divisors (see below), whose sum is σ = 1867381530537600. Its totient is φ = 281517860782080.

The previous prime is 766550252430019. The next prime is 766550252430113. The reversal of 766550252430040 is 40034252055667.

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, 83291026 + ... + 92035294.

It is an arithmetic number, because the mean of its divisors is an integer number (14588918207325).

Almost surely, 2766550252430040 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 766550252430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933690765268800).

766550252430040 is an abundant number, since it is smaller than the sum of its proper divisors (1100831278107560).

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

766550252430040 is a wasteful number, since it uses less digits than its factorization.

766550252430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8745197 (or 8745193 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 49.

The spelling of 766550252430040 in words is "seven hundred sixty-six trillion, five hundred fifty billion, two hundred fifty-two million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 263 520 526 641 1052 1282 1315 2104 2564 2630 3205 3419 5128 5260 6410 6838 8333 10520 12820 13676 16666 17095 25640 27352 33332 34190 41665 66664 68380 83330 136760 166660 168583 333320 337166 674332 842915 1348664 1685830 2191579 3371660 4383158 6743320 8744269 8766316 10957895 17488538 17532632 21915790 34977076 43721345 43831580 69954152 87442690 87663160 113675497 174885380 227350994 349770760 454701988 568377485 909403976 1136754970 2273509940 2299742747 4547019880 4599485494 5605076429 9198970988 11210152858 11498713735 18397941976 22420305716 22997427470 28025382145 29896655711 44840611432 45994854940 56050764290 59793311422 72865993577 91989709880 112101528580 119586622844 145731987154 149483278555 224203057160 239173245688 291463974308 298966557110 364329967885 582927948616 597933114220 728659935770 1195866228440 1457319871540 1474135100827 2914639743080 2948270201654 5896540403308 7370675504135 11793080806616 14741351008270 19163756310751 29482702016540 38327512621502 58965404033080 76655025243004 95818781553755 153310050486008 191637563107510 383275126215020 766550252430040