Search a number
-
+
5598077397720 = 23352411847104803
BaseRepresentation
bin101000101110110011101…
…1010100010101011011000
3201211011121122020212101120
41101131213122202223120
51213204330303211340
615523415442445240
71115306401522533
oct121354732425330
921734548225346
105598077397720
111869149827555
12764b40963820
13317b86606192
14154d3c55ba1a
159a9438b94d0
hex517676a2ad8

5598077397720 has 128 divisors (see below), whose sum is σ = 16873209239040. Its totient is φ = 1485807298560.

The previous prime is 5598077397697. The next prime is 5598077397727. The reversal of 5598077397720 is 277937708955.

It is a super-2 number, since 2×55980773977202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5598077397727) 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, 53362839 + ... + 53467641.

It is an arithmetic number, because the mean of its divisors is an integer number (131821947180).

Almost surely, 25598077397720 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 5598077397720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8436604619520).

5598077397720 is an abundant number, since it is smaller than the sum of its proper divisors (11275131841320).

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

5598077397720 is a wasteful number, since it uses less digits than its factorization.

5598077397720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106905 (or 106901 counting only the distinct ones).

The product of its (nonzero) digits is 233377200, while the sum is 69.

The spelling of 5598077397720 in words is "five trillion, five hundred ninety-eight billion, seventy-seven million, three hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1847 1928 2410 2892 3615 3694 4820 5541 5784 7230 7388 9235 9640 11082 14460 14776 18470 22164 27705 28920 36940 44328 55410 73880 104803 110820 209606 221640 314409 419212 445127 524015 628818 838424 890254 1048030 1257636 1335381 1572045 1780508 2096060 2225635 2515272 2670762 3144090 3561016 4192120 4451270 5341524 6288180 6676905 8902540 10683048 12576360 13353810 17805080 25257523 26707620 50515046 53415240 75772569 101030092 126287615 151545138 193571141 202060184 252575230 303090276 378862845 387142282 505150460 580713423 606180552 757725690 774284564 967855705 1010300920 1161426846 1515451380 1548569128 1935711410 2322853692 2903567115 3030902760 3871422820 4645707384 5807134230 7742845640 11614268460 23228536920 46650644981 93301289962 139951934943 186602579924 233253224905 279903869886 373205159848 466506449810 559807739772 699759674715 933012899620 1119615479544 1399519349430 1866025799240 2799038698860 5598077397720