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5326120338 = 23711293311201
BaseRepresentation
bin1001111010111011…
…00010010110010010
3111202012000221120020
410331131202112102
541401441322323
62240301124310
7245662163430
oct47535422622
914665027506
105326120338
112293502050
121047859696
1366b5a37c6
14387513d50
152128c4ae3
hex13d762592

5326120338 has 128 divisors (see below), whose sum is σ = 13791651840. Its totient is φ = 1330560000.

The previous prime is 5326120321. The next prime is 5326120343. The reversal of 5326120338 is 8330216235.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5326120299 and 5326120308.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4434138 + ... + 4435338.

It is an arithmetic number, because the mean of its divisors is an integer number (107747280).

Almost surely, 25326120338 is an apocalyptic number.

5326120338 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5326120338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6895825920).

5326120338 is an abundant number, since it is smaller than the sum of its proper divisors (8465531502).

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

5326120338 is a wasteful number, since it uses less digits than its factorization.

5326120338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584.

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 5326120338 is about 72980.2736223974. The cubic root of 5326120338 is about 1746.3729326502.

The spelling of 5326120338 in words is "five billion, three hundred twenty-six million, one hundred twenty thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 154 174 203 231 319 331 406 462 609 638 662 957 993 1201 1218 1914 1986 2233 2317 2402 3603 3641 4466 4634 6699 6951 7206 7282 8407 9599 10923 13211 13398 13902 16814 19198 21846 25221 25487 26422 28797 34829 39633 50442 50974 57594 67193 69658 76461 79266 92477 104487 105589 134386 152922 184954 201579 208974 211178 243803 277431 316767 383119 397531 403158 487606 554862 633534 731409 739123 766238 795062 1149357 1192593 1462818 1478246 2217369 2298714 2385186 2681833 2782717 4372841 4434738 5363666 5565434 8045499 8348151 8745682 11528399 13118523 16090998 16696302 23056798 26237046 30609887 34585197 61219774 69170394 80698793 91829661 126812389 161397586 183659322 242096379 253624778 380437167 484192758 760874334 887686723 1775373446 2663060169 5326120338