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55741531552 = 2577310133751
BaseRepresentation
bin110011111010011101…
…000100010110100000
312022212201112012020121
4303322131010112200
51403124313002202
641335102250024
74012220125540
oct637235042640
9168781465217
1055741531552
1121704706753
12a977886914
13534441c685
1429ab09b320
1516b3974537
hexcfa7445a0

55741531552 has 96 divisors (see below), whose sum is σ = 128399088384. Its totient is φ = 23328000000.

The previous prime is 55741531543. The next prime is 55741531567. The reversal of 55741531552 is 25513514755.

It is a super-2 number, since 2×557415315522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55741531499 and 55741531508.

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, 1634677 + ... + 1668427.

It is an arithmetic number, because the mean of its divisors is an integer number (1337490504).

Almost surely, 255741531552 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 55741531552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64199544192).

55741531552 is an abundant number, since it is smaller than the sum of its proper divisors (72657556832).

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

55741531552 is a wasteful number, since it uses less digits than its factorization.

55741531552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33942 (or 33934 counting only the distinct ones).

The product of its digits is 525000, while the sum is 43.

The spelling of 55741531552 in words is "fifty-five billion, seven hundred forty-one million, five hundred thirty-one thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 101 112 146 202 224 292 404 511 584 707 808 1022 1168 1414 1616 2044 2336 2828 3232 4088 5656 7373 8176 11312 14746 16352 22624 29492 33751 51611 58984 67502 103222 117968 135004 206444 235936 236257 270008 412888 472514 540016 825776 945028 1080032 1651552 1890056 2463823 3408851 3780112 4927646 6817702 7560224 9855292 13635404 17246761 19710584 23861957 27270808 34493522 39421168 47723914 54541616 68987044 78842336 95447828 109083232 137974088 190895656 248846123 275948176 381791312 497692246 551896352 763582624 995384492 1741922861 1990768984 3483845722 3981537968 6967691444 7963075936 13935382888 27870765776 55741531552