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15132554340 = 2235676176101
BaseRepresentation
bin11100001011111100…
…00111010001100100
31110001121120102001120
432011332013101210
5221442413214330
610541331053540
71043666406141
oct160576072144
943047512046
1015132554340
116465a29062
122b23a412b0
13157214a387
14a37a8b3c8
155d8799c10
hex385f87464

15132554340 has 96 divisors (see below), whose sum is σ = 43080315264. Its totient is φ = 3968025600.

The previous prime is 15132554323. The next prime is 15132554357. The reversal of 15132554340 is 4345523151.

15132554340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15132554323) and next prime (15132554357).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2477290 + ... + 2483390.

It is an arithmetic number, because the mean of its divisors is an integer number (448753284).

Almost surely, 215132554340 is an apocalyptic number.

15132554340 is a gapful number since it is divisible by the number (10) 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 15132554340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21540157632).

15132554340 is an abundant number, since it is smaller than the sum of its proper divisors (27947760924).

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

15132554340 is a wasteful number, since it uses less digits than its factorization.

15132554340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797 (or 6795 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 15132554340 in words is "fifteen billion, one hundred thirty-two million, five hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 617 670 804 1005 1234 1340 1851 2010 2468 3085 3702 4020 6101 6170 7404 9255 12202 12340 18303 18510 24404 30505 36606 37020 41339 61010 73212 82678 91515 122020 124017 165356 183030 206695 248034 366060 408767 413390 496068 620085 817534 826780 1226301 1240170 1635068 2043835 2452602 2480340 3764317 4087670 4905204 6131505 7528634 8175340 11292951 12263010 15057268 18821585 22585902 24526020 37643170 45171804 56464755 75286340 112929510 225859020 252209239 504418478 756627717 1008836956 1261046195 1513255434 2522092390 3026510868 3783138585 5044184780 7566277170 15132554340