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55245403152 = 24326729319543
BaseRepresentation
bin110011011100111000…
…011111010000010000
312021121010222021000200
4303130320133100100
51401120310400102
641213540415200
73664014115212
oct633470372020
9167533867020
1055245403152
112147a654085
12a8596a7500
1352956c1884
1429612325b2
15168512351c
hexcdce1f410

55245403152 has 120 divisors (see below), whose sum is σ = 157461630144. Its totient is φ = 18077444352.

The previous prime is 55245403151. The next prime is 55245403189. The reversal of 55245403152 is 25130454255.

55245403152 is a `hidden beast` number, since 5 + 5 + 245 + 403 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55245403151) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2817093 + ... + 2836635.

Almost surely, 255245403152 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 55245403152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78730815072).

55245403152 is an abundant number, since it is smaller than the sum of its proper divisors (102216226992).

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

55245403152 is a wasteful number, since it uses less digits than its factorization.

55245403152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19917 (or 19908 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 55245403152 in words is "fifty-five billion, two hundred forty-five million, four hundred three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 201 268 293 402 536 586 603 804 879 1072 1172 1206 1608 1758 2344 2412 2637 3216 3516 4688 4824 5274 7032 9648 10548 14064 19543 19631 21096 39086 39262 42192 58629 58893 78172 78524 117258 117786 156344 157048 175887 176679 234516 235572 312688 314096 351774 353358 469032 471144 703548 706716 938064 942288 1309381 1407096 1413432 2618762 2814192 2826864 3928143 5237524 5726099 7856286 10475048 11452198 11784429 15712572 17178297 20950096 22904396 23568858 31425144 34356594 45808792 47137716 51534891 62850288 68713188 91617584 94275432 103069782 137426376 188550864 206139564 274852752 383648633 412279128 767297266 824558256 1150945899 1534594532 2301891798 3069189064 3452837697 4603783596 6138378128 6905675394 9207567192 13811350788 18415134384 27622701576 55245403152