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537134665323700 = 225241552123729117
BaseRepresentation
bin111101000100001010110100…
…0111011000101010010110100
32121102211120110100210121220101
41322020111220323011102310
51030400403243310324300
65142220131515443444
7221065461510233443
oct17210255073052264
92542746410717811
10537134665323700
1114616959455a014
12502b0368756584
131a093773a12542
14968d65696ad5a
15421718a5d2b6a
hex1e88568ec54b4

537134665323700 has 72 divisors (see below), whose sum is σ = 1194227375977944. Its totient is φ = 209575552512000.

The previous prime is 537134665323673. The next prime is 537134665323721. The reversal of 537134665323700 is 7323566431735.

It can be written as a sum of positive squares in 12 ways, for example, as 335493586122256 + 201641079201444 = 18316484^2 + 14200038^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10771542 + ... + 34500658.

It is an arithmetic number, because the mean of its divisors is an integer number (16586491333027).

Almost surely, 2537134665323700 is an apocalyptic number.

537134665323700 is a gapful number since it is divisible by the number (50) 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 537134665323700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597113687988972).

537134665323700 is an abundant number, since it is smaller than the sum of its proper divisors (657092710654244).

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

537134665323700 is a wasteful number, since it uses less digits than its factorization.

537134665323700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23734693 (or 23734686 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 55.

The spelling of 537134665323700 in words is "five hundred thirty-seven trillion, one hundred thirty-four billion, six hundred sixty-five million, three hundred twenty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 5521 11042 22084 27605 55210 110420 138025 226361 276050 452722 552100 905444 1131805 2263610 4527220 5659025 11318050 22636100 23729117 47458234 94916468 118645585 237291170 474582340 593227925 972893797 1186455850 1945787594 2372911700 3891575188 4864468985 9728937970 19457875940 24322344925 48644689850 97289379700 131008454957 262016909914 524033819828 655042274785 1310084549570 2620169099140 3275211373925 5371346653237 6550422747850 10742693306474 13100845495700 21485386612948 26856733266185 53713466532370 107426933064740 134283666330925 268567332661850 537134665323700