Search a number
-
+
54205133440 = 275197016359
BaseRepresentation
bin110010011110111000…
…001011001010000000
312011220122112002020211
4302132320023022000
51342003003232230
640522420043504
73626153014003
oct623670131200
9164818462224
1054205133440
1120a96426047
12a609233594
13515b025173
1428a300153a
151623b3a42a
hexc9ee0b280

54205133440 has 128 divisors (see below), whose sum is σ = 136620432000. Its totient is φ = 20508364800.

The previous prime is 54205133431. The next prime is 54205133441. The reversal of 54205133440 is 4433150245.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (54205133441) 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, 8520981 + ... + 8527339.

It is an arithmetic number, because the mean of its divisors is an integer number (1067347125).

Almost surely, 254205133440 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 54205133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68310216000).

54205133440 is an abundant number, since it is smaller than the sum of its proper divisors (82415298560).

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

54205133440 is a wasteful number, since it uses less digits than its factorization.

54205133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 54205133440 its reverse (4433150245), we get a palindrome (58638283685).

The spelling of 54205133440 in words is "fifty-four billion, two hundred five million, one hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 701 760 1216 1402 1520 2432 2804 3040 3505 5608 6080 6359 7010 11216 12160 12718 13319 14020 22432 25436 26638 28040 31795 44864 50872 53276 56080 63590 66595 89728 101744 106552 112160 120821 127180 133190 203488 213104 224320 241642 254360 266380 406976 426208 448640 483284 508720 532760 604105 813952 852416 966568 1017440 1065520 1208210 1704832 1933136 2034880 2131040 2416420 3866272 4069760 4262080 4457659 4832840 7732544 8524160 8915318 9665680 15465088 17830636 19331360 22288295 35661272 38662720 44576590 71322544 77325440 84695521 89153180 142645088 169391042 178306360 285290176 338782084 356612720 423477605 570580352 677564168 713225440 846955210 1355128336 1426450880 1693910420 2710256672 2852901760 3387820840 5420513344 6775641680 10841026688 13551283360 27102566720 54205133440