Search a number
-
+
1551201406104 = 2337591297120661
BaseRepresentation
bin10110100100101010110…
…011110000110010011000
312111021220220010001200210
4112210222303300302120
5200403330024443404
63144340113331120
7220033134254010
oct26445263606230
95437826101623
101551201406104
11548951832649
12210772266aa0
13b337c0507cc
1455115774c40
152a53c456689
hex1692acf0c98

1551201406104 has 128 divisors (see below), whose sum is σ = 4510635148800. Its totient is φ = 435349002240.

The previous prime is 1551201406103. The next prime is 1551201406141. The reversal of 1551201406104 is 4016041021551.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1551201406103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12795534 + ... + 12916194.

It is an arithmetic number, because the mean of its divisors is an integer number (35239337100).

Almost surely, 21551201406104 is an apocalyptic number.

1551201406104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1551201406104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255317574400).

1551201406104 is an abundant number, since it is smaller than the sum of its proper divisors (2959433742696).

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

1551201406104 is a wasteful number, since it uses less digits than its factorization.

1551201406104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122033 (or 122029 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 1551201406104 its reverse (4016041021551), we get a palindrome (5567242427655).

The spelling of 1551201406104 in words is "one trillion, five hundred fifty-one billion, two hundred one million, four hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1297 1416 1652 2478 2594 3304 3891 4956 5188 7782 9079 9912 10376 15564 18158 27237 31128 36316 54474 72632 76523 108948 120661 153046 217896 229569 241322 306092 361983 459138 482644 535661 612184 723966 844627 918276 965288 1071322 1447932 1606983 1689254 1836552 2142644 2533881 2895864 3213966 3378508 4285288 5067762 6427932 6757016 7118999 10135524 12855864 14237998 20271048 21356997 28475996 42713994 49832993 56951992 85427988 99665986 149498979 156497317 170855976 199331972 298997958 312994634 398663944 469491951 597995916 625989268 938983902 1095481219 1195991832 1251978536 1877967804 2190962438 3286443657 3755935608 4381924876 6572887314 8763849752 9233341703 13145774628 18466683406 26291549256 27700025109 36933366812 55400050218 64633391921 73866733624 110800100436 129266783842 193900175763 221600200872 258533567684 387800351526 517067135368 775600703052 1551201406104