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6138412148316 = 2237172252859291
BaseRepresentation
bin101100101010011010111…
…1000000010011001011100
3210201211022111102012121210
41121110311320002121130
51301032432002221231
621015540403424420
71202325401235240
oct131246570023134
923654274365553
106138412148316
111a573166a2078
128317b9985110
13356b07c80686
1417315a5aa420
15a9a1a5a9a46
hex59535e0265c

6138412148316 has 72 divisors (see below), whose sum is σ = 17388627792256. Its totient is φ = 1650665445120.

The previous prime is 6138412148263. The next prime is 6138412148329.

6138412148316 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126405370 + ... + 126453921.

Almost surely, 26138412148316 is an apocalyptic number.

It is an amenable number.

6138412148316 is an abundant number, since it is smaller than the sum of its proper divisors (11250215643940).

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

6138412148316 is a wasteful number, since it uses less digits than its factorization.

6138412148316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252859339 (or 252859320 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The spelling of 6138412148316 in words is "six trillion, one hundred thirty-eight billion, four hundred twelve million, one hundred forty-eight thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 6069 8092 12138 24276 252859291 505718582 758577873 1011437164 1517155746 1770015037 3034311492 3540030074 4298607947 5310045111 7080060148 8597215894 10620090222 12895823841 17194431788 21240180444 25791647682 30090255629 51583295364 60180511258 73076335099 90270766887 120361022516 146152670198 180541533774 219229005297 292305340396 361083067548 438458010594 511534345693 876916021188 1023068691386 1534603037079 2046137382772 3069206074158 6138412148316