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2138301378 = 2321747157947
BaseRepresentation
bin111111101110011…
…1110001111000010
312112000120222001100
41333130332033002
513334401121003
6552103115230
7103663155543
oct17734761702
95460528040
102138301378
119a8019524
124b8142b16
1328100b4b5
14163dba4ca
15c7ad0ba3
hex7f73e3c2

2138301378 has 96 divisors (see below), whose sum is σ = 5047121664. Its totient is φ = 651695616.

The previous prime is 2138301371. The next prime is 2138301397. The reversal of 2138301378 is 8731038312.

It is not an unprimeable number, because it can be changed into a prime (2138301371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2257501 + ... + 2258447.

It is an arithmetic number, because the mean of its divisors is an integer number (52574184).

Almost surely, 22138301378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138301378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2523560832).

2138301378 is an abundant number, since it is smaller than the sum of its proper divisors (2908820286).

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

2138301378 is a wasteful number, since it uses less digits than its factorization.

2138301378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2138301378 is about 46241.7709219705. The cubic root of 2138301378 is about 1288.3176952675.

The spelling of 2138301378 in words is "two billion, one hundred thirty-eight million, three hundred one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 157 282 306 314 423 471 799 846 942 947 1413 1598 1894 2397 2669 2826 2841 4794 5338 5682 7191 7379 8007 8523 14382 14758 16014 16099 17046 22137 24021 32198 44274 44509 48042 48297 66411 89018 96594 125443 132822 133527 144891 148679 250886 267054 289782 297358 376329 400581 446037 752658 756653 801162 892074 1128987 1338111 1513306 2257974 2269959 2527543 2676222 4539918 5055086 6809877 6987913 7582629 13619754 13975826 15165258 20963739 22747887 41927478 45495774 62891217 118794521 125782434 237589042 356383563 712767126 1069150689 2138301378