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550705535120 = 245134173176921
BaseRepresentation
bin10000000001110001001…
…10111001100010010000
31221122110121121210002202
420000320212321202100
533010321104110440
61100553550502332
754533665545656
oct10007046714220
91848417553082
10550705535120
111a2609a10524
128a8922049a8
133cc151173b0
141c92352cdd6
15e4d23e0615
hex80389b9890

550705535120 has 160 divisors (see below), whose sum is σ = 1431870791904. Its totient is φ = 195659366400.

The previous prime is 550705535119. The next prime is 550705535129. The reversal of 550705535120 is 21535507055.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 340369561744 + 210335973376 = 583412^2 + 458624^2 .

It is not an unprimeable number, because it can be changed into a prime (550705535129) 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, 3024260 + ... + 3201180.

Almost surely, 2550705535120 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 550705535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715935395952).

550705535120 is an abundant number, since it is smaller than the sum of its proper divisors (881165256784).

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

550705535120 is a wasteful number, since it uses less digits than its factorization.

550705535120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177061 (or 177055 counting only the distinct ones).

The product of its (nonzero) digits is 131250, while the sum is 38.

The spelling of 550705535120 in words is "five hundred fifty billion, seven hundred five million, five hundred thirty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 73 80 82 104 130 146 164 205 208 260 292 328 365 410 520 533 584 656 730 820 949 1040 1066 1168 1460 1640 1898 2132 2665 2920 2993 3280 3796 4264 4745 5330 5840 5986 7592 8528 9490 10660 11972 14965 15184 18980 21320 23944 29930 37960 38909 42640 47888 59860 75920 77818 119720 155636 176921 194545 239440 311272 353842 389090 622544 707684 778180 884605 1415368 1556360 1769210 2299973 2830736 3112720 3538420 4599946 7076840 7253761 9199892 11499865 12915233 14153680 14507522 18399784 22999730 25830466 29015044 36268805 36799568 45999460 51660932 58030088 64576165 72537610 91998920 94298893 103321864 116060176 129152330 145075220 167898029 183997840 188597786 206643728 258304660 290150440 335796058 377195572 471494465 516609320 529524553 580300880 671592116 754391144 839490145 942988930 1033218640 1059049106 1343184232 1508782288 1678980290 1885977860 2118098212 2647622765 2686368464 3357960580 3771955720 4236196424 5295245530 6715921160 6883819189 7543911440 8472392848 10590491060 13431842320 13767638378 21180982120 27535276756 34419095945 42361964240 55070553512 68838191890 110141107024 137676383780 275352767560 550705535120