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561631373550 = 2325213349275087
BaseRepresentation
bin10000010110000111101…
…01101010100011101110
31222200200001111212210100
420023003311222203232
533200210112423200
61110002045251530
755401514623222
oct10130365524356
91880601455710
10561631373550
111a72062a5665
1290a21263ba6
1340c66876c50
141d27c616782
15e9216d0d00
hex82c3d6a8ee

561631373550 has 144 divisors (see below), whose sum is σ = 1629648820800. Its totient is φ = 137851096320.

The previous prime is 561631373543. The next prime is 561631373621. The reversal of 561631373550 is 55373136165.

561631373550 is a `hidden beast` number, since 5 + 6 + 1 + 63 + 1 + 37 + 3 + 550 = 666.

561631373550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×5616313735503 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 561631373496 and 561631373505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904107 + ... + 2179193.

It is an arithmetic number, because the mean of its divisors is an integer number (11317005700).

Almost surely, 2561631373550 is an apocalyptic number.

561631373550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 561631373550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814824410400).

561631373550 is an abundant number, since it is smaller than the sum of its proper divisors (1068017447250).

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

561631373550 is a wasteful number, since it uses less digits than its factorization.

561631373550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275467 (or 275459 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 561631373550 in words is "five hundred sixty-one billion, six hundred thirty-one million, three hundred seventy-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 349 390 450 585 650 698 975 1047 1170 1745 1950 2094 2925 3141 3490 4537 5235 5850 6282 8725 9074 10470 13611 15705 17450 22685 26175 27222 31410 40833 45370 52350 68055 78525 81666 113425 136110 157050 204165 226850 275087 340275 408330 550174 680550 825261 1020825 1375435 1650522 2041650 2475783 2750870 3576131 4126305 4951566 6877175 7152262 8252610 10728393 12378915 13754350 17880655 20631525 21456786 24757830 32185179 35761310 41263050 53641965 61894575 64370358 89403275 96005363 107283930 123789150 160925895 178806550 192010726 268209825 288016089 321851790 480026815 536419650 576032178 804629475 864048267 960053630 1248069719 1440080445 1609258950 1728096534 2400134075 2496139438 2880160890 3744209157 4320241335 4800268150 6240348595 7200402225 7488418314 8640482670 11232627471 12480697190 14400804450 18721045785 21601206675 22465254942 31201742975 37442091570 43202413350 56163137355 62403485950 93605228925 112326274710 187210457850 280815686775 561631373550