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55515360640 = 275587147773
BaseRepresentation
bin110011101100111110…
…010010110110000000
312022021221221112002011
4303230332102312000
51402143413020030
641300422502304
74003502531245
oct635476226600
9168257845064
1055515360640
11215a8a79143
12a913b94994
13530960122c
1429890255cc
15169db9ab2a
hexcecf92d80

55515360640 has 64 divisors (see below), whose sum is σ = 132943401360. Its totient is φ = 22168164352.

The previous prime is 55515360581. The next prime is 55515360647. The reversal of 55515360640 is 4606351555.

55515360640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×555153606402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 55515360593 and 55515360602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55515360647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301794 + ... + 449566.

Almost surely, 255515360640 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 55515360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66471700680).

55515360640 is an abundant number, since it is smaller than the sum of its proper divisors (77428040720).

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

55515360640 is a wasteful number, since it uses less digits than its factorization.

55515360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148379 (or 148367 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 40.

The spelling of 55515360640 in words is "fifty-five billion, five hundred fifteen million, three hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 587 640 1174 2348 2935 4696 5870 9392 11740 18784 23480 37568 46960 75136 93920 147773 187840 295546 375680 591092 738865 1182184 1477730 2364368 2955460 4728736 5910920 9457472 11821840 18914944 23643680 47287360 86742751 94574720 173485502 346971004 433713755 693942008 867427510 1387884016 1734855020 2775768032 3469710040 5551536064 6939420080 11103072128 13878840160 27757680320 55515360640