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55463038240 = 2552921135657
BaseRepresentation
bin110011101001110110…
…101100110100100000
312022011022111021020111
4303221312230310200
51402042014210430
641251313221104
74002266021641
oct635166546440
9168138437214
1055463038240
1121581491595
12a8ba561794
1352cb811a2c
1429820c56c8
1516992b2c2a
hexce9dacd20

55463038240 has 96 divisors (see below), whose sum is σ = 135637876080. Its totient is φ = 21406285824.

The previous prime is 55463038229. The next prime is 55463038243. The reversal of 55463038240 is 4283036455.

55463038240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 757570576 + 54705467664 = 27524^2 + 233892^2 .

It is a super-2 number, since 2×554630382402 (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 = 55463038193 and 55463038202.

It is not an unprimeable number, because it can be changed into a prime (55463038243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9801492 + ... + 9807148.

Almost surely, 255463038240 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 55463038240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67818938040).

55463038240 is an abundant number, since it is smaller than the sum of its proper divisors (80174837840).

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

55463038240 is a wasteful number, since it uses less digits than its factorization.

55463038240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 55463038240 in words is "fifty-five billion, four hundred sixty-three million, thirty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2113 2320 4226 4640 5657 8452 10565 11314 16904 21130 22628 28285 33808 42260 45256 56570 61277 67616 84520 90512 113140 122554 164053 169040 181024 226280 245108 306385 328106 338080 452560 490216 612770 656212 820265 905120 980432 1225540 1312424 1640530 1960864 2451080 2624848 3281060 4902160 5249696 6562120 9804320 11953241 13124240 23906482 26248480 47812964 59766205 95625928 119532410 191251856 239064820 346643989 382503712 478129640 693287978 956259280 1386575956 1733219945 1912518560 2773151912 3466439890 5546303824 6932879780 11092607648 13865759560 27731519120 55463038240