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13419058080 = 2535245911369
BaseRepresentation
bin11000111111101011…
…01001001110100000
31021122012022210002010
430133311221032200
5204440234324310
610055320552520
7653352053211
oct143765511640
937565283063
1013419058080
115766787a4a
122726022740
13135b156a6c
14914291408
1553812c320
hex31fd693a0

13419058080 has 96 divisors (see below), whose sum is σ = 42290942400. Its totient is φ = 3576645632.

The previous prime is 13419058067. The next prime is 13419058111. The reversal of 13419058080 is 8085091431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×134190580802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1174636 + ... + 1186004.

It is an arithmetic number, because the mean of its divisors is an integer number (440530650).

Almost surely, 213419058080 is an apocalyptic number.

13419058080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13419058080 is an abundant number, since it is smaller than the sum of its proper divisors (28871884320).

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

13419058080 is a wasteful number, since it uses less digits than its factorization.

13419058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13846 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 13419058080 in words is "thirteen billion, four hundred nineteen million, fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2459 4918 7377 9836 11369 12295 14754 19672 22738 24590 29508 34107 36885 39344 45476 49180 56845 59016 68214 73770 78688 90952 98360 113690 118032 136428 147540 170535 181904 196720 227380 236064 272856 295080 341070 363808 393440 454760 545712 590160 682140 909520 1091424 1180320 1364280 1819040 2728560 5457120 27956371 55912742 83869113 111825484 139781855 167738226 223650968 279563710 335476452 419345565 447301936 559127420 670952904 838691130 894603872 1118254840 1341905808 1677382260 2236509680 2683811616 3354764520 4473019360 6709529040 13419058080