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54889070704 = 241329311092693
BaseRepresentation
bin110011000111101001…
…001100000001110000
312020200022110200210121
4303013221030001300
51344403100230304
641114331140024
73652126255126
oct630751140160
9166608420717
1054889070704
11213074a4256
12a77a2a4614
13523992c280
142929b97916
151663bd8554
hexcc7a4c070

54889070704 has 160 divisors (see below), whose sum is σ = 123467097600. Its totient is φ = 23444951040.

The previous prime is 54889070701. The next prime is 54889070723. The reversal of 54889070704 is 40707098845.

It is a super-2 number, since 2×548890707042 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54889070701) 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, 20380782 + ... + 20383474.

It is an arithmetic number, because the mean of its divisors is an integer number (771669360).

Almost surely, 254889070704 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 54889070704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61733548800).

54889070704 is an abundant number, since it is smaller than the sum of its proper divisors (68578026896).

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

54889070704 is a wasteful number, since it uses less digits than its factorization.

54889070704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2883 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 52.

The spelling of 54889070704 in words is "fifty-four billion, eight hundred eighty-nine million, seventy thousand, seven hundred four".

Divisors: 1 2 4 8 13 16 26 29 31 52 58 62 104 109 116 124 208 218 232 248 377 403 436 464 496 754 806 872 899 1417 1508 1612 1744 1798 2693 2834 3016 3161 3224 3379 3596 5386 5668 6032 6322 6448 6758 7192 10772 11336 11687 12644 13516 14384 21544 22672 23374 25288 27032 35009 41093 43088 43927 46748 50576 54064 70018 78097 82186 83483 87854 93496 97991 140036 156194 164372 166966 175708 186992 195982 280072 293537 312388 328744 333932 351416 391964 560144 587074 624776 657488 667864 702832 783928 1015261 1085279 1174148 1249552 1273883 1335728 1567856 2030522 2170558 2348296 2421007 2547766 3815981 4061044 4341116 4696592 4842014 5095532 7631962 8122088 8512573 8682232 9099647 9684028 10191064 15263924 16244176 17025146 17364464 18199294 19368056 20382128 30527848 31473091 34050292 36398588 38736112 61055696 62946182 68100584 72797176 110663449 118295411 125892364 136201168 145594352 221326898 236590822 251784728 263889763 442653796 473181644 503569456 527779526 885307592 946363288 1055559052 1770615184 1892726576 2111118104 3430566919 4222236208 6861133838 13722267676 27444535352 54889070704