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2739365940608 = 271116323515077
BaseRepresentation
bin100111110111001110111…
…011110000110110000000
3100200212210010022020020022
4213313032323300312000
5324340210140044413
65454240343033012
7401625020206523
oct47671673606600
910625703266208
102739365940608
119668387272a0
12382aa813b768
1316b4235c139b
149682c070bba
154b3cd072608
hex27dceef0d80

2739365940608 has 128 divisors (see below), whose sum is σ = 5993703959040. Its totient is φ = 1236757248000.

The previous prime is 2739365940601. The next prime is 2739365940613. The reversal of 2739365940608 is 8060495639372.

It is a Cunningham number, because it is equal to 16551032-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2739365940601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539561366 + ... + 539566442.

It is an arithmetic number, because the mean of its divisors is an integer number (46825812180).

Almost surely, 22739365940608 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 2739365940608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996851979520).

2739365940608 is an abundant number, since it is smaller than the sum of its proper divisors (3254338018432).

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

2739365940608 is a wasteful number, since it uses less digits than its factorization.

2739365940608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 7604 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 62.

The spelling of 2739365940608 in words is "two trillion, seven hundred thirty-nine billion, three hundred sixty-five million, nine hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 163 176 326 352 652 704 1304 1408 1793 2351 2608 3586 4702 5077 5216 7172 9404 10154 10432 14344 18808 20308 20864 25861 28688 37616 40616 51722 55847 57376 75232 81232 103444 111694 114752 150464 162464 206888 223388 229504 300928 324928 383213 413776 446776 649856 766426 827551 827552 893552 1532852 1655102 1655104 1787104 3065704 3310204 3310208 3574208 4215343 6131408 6620408 7148416 8430686 9103061 11936027 12262816 13240816 16861372 18206122 23872054 24525632 26481632 33722744 36412244 47744108 49051264 52963264 67445488 72824488 95488216 105926528 131296297 134890976 145648976 190976432 262592594 269781952 291297952 381952864 525185188 539563904 582595904 763905728 1050370376 1165191808 1527811456 1945572401 2100740752 3891144802 4201481504 7782289604 8402963008 15564579208 16805926016 21401296411 31129158416 42802592822 62258316832 85605185644 124516633664 171210371288 249033267328 342420742576 684841485152 1369682970304 2739365940608