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16154364132 = 22323722435407
BaseRepresentation
bin11110000101110000…
…00000100011100100
31112200211021201120200
433002320000203210
5231041004123012
611230552030500
71111214554344
oct170270004344
945624251520
1016154364132
11693a798965
12316a092430
1316a5a5265a
14ad3674d24
156483383dc
hex3c2e008e4

16154364132 has 72 divisors (see below), whose sum is σ = 41964738816. Its totient is φ = 5235948864.

The previous prime is 16154364077. The next prime is 16154364143. The reversal of 16154364132 is 23146345161.

16154364132 is a `hidden beast` number, since 1 + 6 + 1 + 5 + 4 + 3 + 641 + 3 + 2 = 666.

It is a super-2 number, since 2×161543641322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2984973 + ... + 2990379.

Almost surely, 216154364132 is an apocalyptic number.

16154364132 is a gapful number since it is divisible by the number (12) 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 16154364132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20982369408).

16154364132 is an abundant number, since it is smaller than the sum of its proper divisors (25810374684).

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

16154364132 is a wasteful number, since it uses less digits than its factorization.

16154364132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697 (or 7692 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 16154364132 in words is "sixteen billion, one hundred fifty-four million, three hundred sixty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2243 4486 5407 6729 8972 10814 13458 16221 20187 21628 26916 32442 40374 48663 64884 80748 82991 97326 165982 194652 200059 248973 331964 400118 497946 600177 746919 800236 995892 1200354 1493838 1800531 2400708 2987676 3601062 7202124 12127901 24255802 36383703 48511604 72767406 109151109 145534812 218302218 436604436 448732337 897464674 1346197011 1794929348 2692394022 4038591033 5384788044 8077182066 16154364132