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131367011552 = 25713723917911
BaseRepresentation
bin111101001011000010…
…1011000010011100000
3110120002012012121221022
41322112011120103200
54123014423332202
6140203230545012
712330253113530
oct1722605302340
9416065177838
10131367011552
1150792287147
1221562668168
13c507172cca
146502c714c0
15363cd8dea2
hex1e961584e0

131367011552 has 96 divisors (see below), whose sum is σ = 298995701760. Its totient is φ = 55652244480.

The previous prime is 131367011551. The next prime is 131367011561. The reversal of 131367011552 is 255110763131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131367011551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7325477 + ... + 7343387.

It is an arithmetic number, because the mean of its divisors is an integer number (3114538560).

Almost surely, 2131367011552 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 131367011552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149497850880).

131367011552 is an abundant number, since it is smaller than the sum of its proper divisors (167628690208).

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

131367011552 is a wasteful number, since it uses less digits than its factorization.

131367011552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18304 (or 18296 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

Adding to 131367011552 its reverse (255110763131), we get a palindrome (386477774683).

The spelling of 131367011552 in words is "one hundred thirty-one billion, three hundred sixty-seven million, eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 239 274 478 548 956 959 1096 1673 1912 1918 2192 3346 3824 3836 4384 6692 7648 7672 13384 15344 17911 26768 30688 32743 35822 53536 65486 71644 125377 130972 143288 229201 250754 261944 286576 458402 501508 523888 573152 916804 1003016 1047776 1833608 2006032 2453807 3667216 4012064 4280729 4907614 7334432 8561458 9815228 17122916 17176649 19630456 29965103 34245832 34353298 39260912 59930206 68491664 68706596 78521824 119860412 136983328 137413192 239720824 274826384 479441648 549652768 586459873 958883296 1172919746 2345839492 4105219111 4691678984 8210438222 9383357968 16420876444 18766715936 32841752888 65683505776 131367011552