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557894034544 = 247113894012903
BaseRepresentation
bin10000001111001010001…
…00110110010001110000
31222100000121001101111011
420013211010312101300
533120031333101134
61104143141200304
755210064023150
oct10074504662160
91870017041434
10557894034544
111a5668702540
1290159700094
13407bc4aba52
141d006116760
15e7a3541264
hex81e5136470

557894034544 has 160 divisors (see below), whose sum is σ = 1354940421120. Its totient is φ = 216187392000.

The previous prime is 557894034521. The next prime is 557894034547. The reversal of 557894034544 is 445430498755.

It is a super-2 number, since 2×5578940345442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557894034547) 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, 192176997 + ... + 192179899.

It is an arithmetic number, because the mean of its divisors is an integer number (8468377632).

Almost surely, 2557894034544 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 557894034544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677470210560).

557894034544 is an abundant number, since it is smaller than the sum of its proper divisors (797046386576).

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

557894034544 is a wasteful number, since it uses less digits than its factorization.

557894034544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3713 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 58.

The spelling of 557894034544 in words is "five hundred fifty-seven billion, eight hundred ninety-four million, thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 389 401 616 778 802 1232 1556 1604 2723 2807 2903 3112 3208 4279 4411 5446 5614 5806 6224 6416 8558 8822 10892 11228 11612 17116 17644 20321 21784 22456 23224 29953 30877 31933 34232 35288 40642 43568 44912 46448 59906 61754 63866 68464 70576 81284 119812 123508 127732 155989 162568 223531 239624 247016 255464 311978 325136 447062 479248 494032 510928 623956 894124 1091923 1129267 1164103 1247912 1715879 1788248 2183846 2258534 2328206 2495824 3431758 3576496 4367692 4517068 4656412 6863516 7904869 8148721 8735384 9034136 9312824 12011153 12421937 12805133 13727032 15809738 16297442 17470768 18068272 18625648 24022306 24843874 25610266 27454064 31619476 32594884 48044612 49687748 51220532 63238952 65189768 86953559 89635931 96089224 99375496 102441064 126477904 130379536 173907118 179271862 192178448 198750992 204882128 347814236 358543724 452836067 695628472 717087448 905672134 1391256944 1434174896 1811344268 3169852469 3622688536 4981196737 6339704938 7245377072 9962393474 12679409876 19924786948 25358819752 34868377159 39849573896 50717639504 69736754318 79699147792 139473508636 278947017272 557894034544