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2733112722740 = 2253153127654917
BaseRepresentation
bin100111110001011010001…
…101101000010100110100
3100200021122022202211221112
4213301122031220110310
5324234403324111430
65451324042534152
7401314036554611
oct47613215502464
910607568684845
102733112722740
11964119975144
12381841b07358
1316a967c2737a
14963d7789508
154b1640bc195
hex27c5a368534

2733112722740 has 96 divisors (see below), whose sum is σ = 6084010082304. Its totient is φ = 1029842311680.

The previous prime is 2733112722737. The next prime is 2733112722763. The reversal of 2733112722740 is 472272113372.

It is a super-2 number, since 2×27331127227402 (a number of 26 digits) contains 22 as substring.

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, 3845762 + ... + 4500678.

It is an arithmetic number, because the mean of its divisors is an integer number (63375105024).

Almost surely, 22733112722740 is an apocalyptic number.

2733112722740 is a gapful number since it is divisible by the number (20) 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 2733112722740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042005041152).

2733112722740 is an abundant number, since it is smaller than the sum of its proper divisors (3350897359564).

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

2733112722740 is a wasteful number, since it uses less digits than its factorization.

2733112722740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655137 (or 655135 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 41.

The spelling of 2733112722740 in words is "two trillion, seven hundred thirty-three billion, one hundred twelve million, seven hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 53 62 106 124 127 155 212 254 265 310 508 530 620 635 1060 1270 1643 2540 3286 3937 6572 6731 7874 8215 13462 15748 16430 19685 26924 32860 33655 39370 67310 78740 134620 208661 417322 654917 834644 1043305 1309834 2086610 2619668 3274585 4173220 6549170 13098340 20302427 34710601 40604854 69421202 81209708 83174459 101512135 138842404 166348918 173553005 203024270 332697836 347106010 406048540 415872295 694212020 831744590 1076028631 1663489180 2152057262 2578408229 4304114524 4408246327 5156816458 5380143155 8816492654 10313632916 10760286310 12892041145 17632985308 21520572620 22041231635 25784082290 44082463270 51568164580 88164926540 136655636137 273311272274 546622544548 683278180685 1366556361370 2733112722740