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126235151164356 = 2231310937549197711
BaseRepresentation
bin11100101100111101101001…
…010101111110001111000100
3121112221221222201201102210020
4130230331221111332033010
5113021214042144224411
61124251343341255140
735406121503465153
oct3454755125761704
9545857881642706
10126235151164356
113724a032985913
12121a92748644b0
135558c01418470
142325b5755959a
15e8d9eca02606
hex72cf6957e3c4

126235151164356 has 96 divisors (see below), whose sum is σ = 320126571072000. Its totient is φ = 38484020574720.

The previous prime is 126235151164333. The next prime is 126235151164357. The reversal of 126235151164356 is 653461151532621.

It is a junction number, because it is equal to n+sod(n) for n = 126235151164299 and 126235151164308.

It is not an unprimeable number, because it can be changed into a prime (126235151164357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638384341 + ... + 638582051.

It is an arithmetic number, because the mean of its divisors is an integer number (3334651782000).

Almost surely, 2126235151164356 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 126235151164356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160063285536000).

126235151164356 is an abundant number, since it is smaller than the sum of its proper divisors (193891419907644).

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

126235151164356 is a wasteful number, since it uses less digits than its factorization.

126235151164356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235389 (or 235387 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 51.

The spelling of 126235151164356 in words is "one hundred twenty-six trillion, two hundred thirty-five billion, one hundred fifty-one million, one hundred sixty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 4251 5668 8502 17004 37549 75098 112647 150196 197711 225294 395422 450588 488137 593133 790844 976274 1186266 1464411 1952548 2372532 2570243 2928822 4092841 5140486 5857644 7710729 8185682 10280972 12278523 15421458 16371364 21550499 24557046 30842916 43100998 49114092 53206933 64651497 86201996 106413866 129302994 159620799 212827732 258605988 280156487 319241598 560312974 638483196 840469461 1120625948 1680938922 3361877844 7423850339 14847700678 22271551017 29695401356 44543102034 89086204068 96510054407 193020108814 289530163221 386040217628 579060326442 809199686951 1158120652884 1618399373902 2427599060853 3236798747804 4855198121706 9710396243412 10519595930363 21039191860726 31558787791089 42078383721452 63117575582178 126235151164356