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1350352039504 = 2413175320113583
BaseRepresentation
bin10011101001100111010…
…000001110111001010000
311210002111100121002021011
4103221213100032321100
5134111010110231004
62512202042340304
7166362660644356
oct23514720167120
94702440532234
101350352039504
11480754582786
1219985a1ba694
139a450a85760
14495009577d6
15251d4658004
hex13a6740ee50

1350352039504 has 160 divisors (see below), whose sum is σ = 3041949302784. Its totient is φ = 575064023040.

The previous prime is 1350352039471. The next prime is 1350352039511. The reversal of 1350352039504 is 4059302530531.

It is a super-2 number, since 2×13503520395042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 376875697 + ... + 376879279.

Almost surely, 21350352039504 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 1350352039504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520974651392).

1350352039504 is an abundant number, since it is smaller than the sum of its proper divisors (1691597263280).

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

1350352039504 is a wasteful number, since it uses less digits than its factorization.

1350352039504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 40.

The spelling of 1350352039504 in words is "one trillion, three hundred fifty billion, three hundred fifty-two million, thirty-nine thousand, five hundred four".

Divisors: 1 2 4 8 13 16 17 26 34 52 53 68 104 106 136 208 212 221 272 424 442 689 848 884 901 1378 1768 1802 2011 2756 3536 3583 3604 4022 5512 7166 7208 8044 11024 11713 14332 14416 16088 23426 26143 28664 32176 34187 46579 46852 52286 57328 60911 68374 93158 93704 104572 106583 121822 136748 186316 187408 189899 209144 213166 243644 273496 372632 379798 418288 426332 444431 487288 546992 745264 759596 791843 852664 888862 974576 1385579 1519192 1583686 1705328 1777724 1811911 2468687 2771158 3038384 3167372 3228283 3555448 3623822 4937374 5542316 6334744 6456566 7110896 7205413 7247644 9874748 11084632 12669488 12913132 14410826 14495288 19749496 22169264 23554843 25826264 28821652 28990576 39498992 41967679 47109686 51652528 57643304 83935358 93670369 94219372 115286608 122492021 167870716 187340738 188438744 244984042 335741432 374681476 376877488 381886889 489968084 671482864 749362952 763773778 979936168 1498725904 1527547556 1592396273 1959872336 3055095112 3184792546 4964529557 6110190224 6369585092 6492077113 9929059114 12739170184 12984154226 19858118228 25478340368 25968308452 39716236456 51936616904 79432472912 84397002469 103873233808 168794004938 337588009876 675176019752 1350352039504