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155424206346112 = 27111672772386271
BaseRepresentation
bin100011010101101110000100…
…100110111101011110000000
3202101022102001011200002012001
4203111232010212331132000
5130332432233311033422
61310320521130513344
744511012503025304
oct4325560446753600
9671272034602161
10155424206346112
1145583043644240
1215522304295854
136895594234522
142a54800b55d04
1512e7e186ea227
hex8d5b849bd780

155424206346112 has 128 divisors (see below), whose sum is σ = 341032249313280. Its totient is φ = 69970781644800.

The previous prime is 155424206346067. The next prime is 155424206346131. The reversal of 155424206346112 is 211643602424551.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 63939537 + ... + 66325807.

It is an arithmetic number, because the mean of its divisors is an integer number (2664314447760).

Almost surely, 2155424206346112 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 155424206346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170516124656640).

155424206346112 is an abundant number, since it is smaller than the sum of its proper divisors (185608042967168).

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

155424206346112 is a wasteful number, since it uses less digits than its factorization.

155424206346112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386740 (or 2386728 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 155424206346112 in words is "one hundred fifty-five trillion, four hundred twenty-four billion, two hundred six million, three hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 167 176 277 334 352 554 668 704 1108 1336 1408 1837 2216 2672 3047 3674 4432 5344 6094 7348 8864 10688 12188 14696 17728 21376 24376 29392 35456 46259 48752 58784 92518 97504 117568 185036 195008 235136 370072 390016 508849 740144 1017698 1480288 2035396 2386271 2960576 4070792 4772542 5921152 8141584 9545084 16283168 19090168 26248981 32566336 38180336 52497962 65132672 76360672 104995924 152721344 209991848 305442688 398507257 419983696 660997067 797014514 839967392 1321994134 1594029028 1679934784 2643988268 3188058056 3359869568 4383579827 5287976536 6376116112 7270967737 8767159654 10575953072 12752232224 14541935474 17534319308 21151906144 25504464448 29083870948 35068638616 42303812288 51008928896 58167741896 70137277232 84607624576 110386510189 116335483792 140274554464 220773020378 232670967584 280549108928 441546040756 465341935168 561098217856 883092081512 930683870336 1214251612079 1766184163024 2428503224158 3532368326048 4857006448316 7064736652096 9714012896632 14129473304192 19428025793264 38856051586528 77712103173056 155424206346112