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55257519360 = 283573197123
BaseRepresentation
bin110011011101100110…
…101101010100000000
312021121222202211100010
4303131212231110000
51401131411104420
641215052224520
73664222110351
oct633546552400
9167558684303
1055257519360
112148647a17a
12a86176b140
135298074724
142962aa7d28
1516862184e0
hexcdd9ad500

55257519360 has 144 divisors (see below), whose sum is σ = 178897126464. Its totient is φ = 14533410816.

The previous prime is 55257519341. The next prime is 55257519379. The reversal of 55257519360 is 6391575255.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55257519341) and next prime (55257519379).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181759 + ... + 378881.

It is an arithmetic number, because the mean of its divisors is an integer number (1242341156).

Almost surely, 255257519360 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 55257519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89448563232).

55257519360 is an abundant number, since it is smaller than the sum of its proper divisors (123639607104).

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

55257519360 is a wasteful number, since it uses less digits than its factorization.

55257519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197220 (or 197206 counting only the distinct ones).

The product of its (nonzero) digits is 1417500, while the sum is 48.

The spelling of 55257519360 in words is "fifty-five billion, two hundred fifty-seven million, five hundred nineteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 256 292 320 365 384 438 480 584 640 730 768 876 960 1095 1168 1280 1460 1752 1920 2190 2336 2920 3504 3840 4380 4672 5840 7008 8760 9344 11680 14016 17520 18688 23360 28032 35040 46720 56064 70080 93440 140160 197123 280320 394246 591369 788492 985615 1182738 1576984 1971230 2365476 2956845 3153968 3942460 4730952 5913690 6307936 7884920 9461904 11827380 12615872 14389979 15769840 18923808 23654760 25231744 28779958 31539680 37847616 43169937 47309520 50463488 57559916 63079360 71949895 75695232 86339874 94619040 115119832 126158720 143899790 151390464 172679748 189238080 215849685 230239664 252317440 287799580 345359496 378476160 431699370 460479328 575599160 690718992 756952320 863398740 920958656 1151198320 1381437984 1726797480 1841917312 2302396640 2762875968 3453594960 3683834624 4604793280 5525751936 6907189920 9209586560 11051503872 13814379840 18419173120 27628759680 55257519360