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2055505145344 = 2972334771861
BaseRepresentation
bin11101111010010101101…
…001110110111000000000
321021111121200120101021221
4131322111221312320000
5232134133304122334
64212141440524424
7301335222312160
oct35722551667000
97244550511257
102055505145344
1172280a082032
12292454620714
1311baaa9c9a41
14716b63b65a0
1538705d0b8b4
hex1de95a76e00

2055505145344 has 160 divisors (see below), whose sum is σ = 4911966614016. Its totient is φ = 840189419520.

The previous prime is 2055505145293. The next prime is 2055505145371. The reversal of 2055505145344 is 4435415055502.

It is a self number, because there is not a number n which added to its sum of digits gives 2055505145344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28567974 + ... + 28639834.

Almost surely, 22055505145344 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 2055505145344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455983307008).

2055505145344 is an abundant number, since it is smaller than the sum of its proper divisors (2856461468672).

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

2055505145344 is an equidigital number, since it uses as much as digits as its factorization.

2055505145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72256 (or 72240 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 43.

The spelling of 2055505145344 in words is "two trillion, fifty-five billion, five hundred five million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 161 184 224 256 322 347 368 448 512 644 694 736 896 1288 1388 1472 1792 2429 2576 2776 2944 3584 4858 5152 5552 5888 7981 9716 10304 11104 11776 15962 19432 20608 22208 31924 38864 41216 44416 55867 63848 71861 77728 82432 88832 111734 127696 143722 155456 177664 223468 255392 287444 310912 446936 503027 510784 574888 621824 893872 1006054 1021568 1149776 1243648 1652803 1787744 2012108 2043136 2299552 3305606 3575488 4024216 4086272 4599104 6611212 7150976 8048432 9198208 11569621 13222424 14301952 16096864 18396416 23139242 24935767 26444848 28603904 32193728 36792832 46278484 49871534 52889696 64387456 92556968 99743068 105779392 128774912 174550369 185113936 199486136 211558784 257549824 349100738 370227872 398972272 423117568 573522641 698201476 740455744 797944544 846235136 1147045282 1396402952 1480911488 1595889088 2294090564 2792805904 2961822976 3191778176 4014658487 4588181128 5585611808 5923645952 6383556352 8029316974 9176362256 11171223616 12767112704 16058633948 18352724512 22342447232 32117267896 36705449024 44684894464 64234535792 73410898048 89369788928 128469071584 146821796096 256938143168 293643592192 513876286336 1027752572672 2055505145344