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145923026106 = 2311131723342937
BaseRepresentation
bin1000011111100110110…
…0001010110010111010
3111221122121220210002110
42013321230022302322
54342322243313411
6151011444513150
713354052153664
oct2077154126272
9457577823073
10145923026106
1156981820340
12243453ab7b6
13109b6a19b80
1470c4121534
153be0c022a6
hex21f9b0acba

145923026106 has 128 divisors (see below), whose sum is σ = 364603389696. Its totient is φ = 38250823680.

The previous prime is 145923026101. The next prime is 145923026113. The reversal of 145923026106 is 601620329541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (145923026101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3377070 + ... + 3420006.

It is an arithmetic number, because the mean of its divisors is an integer number (2848463982).

Almost surely, 2145923026106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145923026106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182301694848).

145923026106 is an abundant number, since it is smaller than the sum of its proper divisors (218680363590).

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

145923026106 is a wasteful number, since it uses less digits than its factorization.

145923026106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43216.

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 145923026106 in words is "one hundred forty-five billion, nine hundred twenty-three million, twenty-six thousand, one hundred six".

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 233 286 374 429 442 466 561 663 699 858 1122 1326 1398 2431 2563 3029 3961 4862 5126 6058 7293 7689 7922 9087 11883 14586 15378 18174 23766 33319 42937 43571 51493 66638 85874 87142 99957 102986 128811 130713 154479 199914 257622 261426 308958 472307 558181 566423 729929 944614 1116362 1132846 1416921 1459858 1674543 1699269 2189787 2833842 3349086 3398538 4379574 6139991 8029219 9489077 10004321 12279982 16058438 18419973 18978154 20008642 24087657 28467231 30012963 36839946 48175314 56934462 60025926 104379847 110047531 130056173 170073457 208759694 220095062 260112346 313139541 330142593 340146914 390168519 510220371 626279082 660285186 780337038 1020440742 1430617903 1870808027 2210954941 2861235806 3741616054 4291853709 4421909882 5612424081 6632864823 8583707418 11224848162 13265729646 24320504351 48641008702 72961513053 145923026106