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12937819098724 = 2213237237392
BaseRepresentation
bin1011110001000101001000…
…0111001000111001100100
31200210211202212011110101221
42330101102013020321210
53143433123142124344
643303315124030124
72503504134561052
oct274212207107144
950724685143357
1012937819098724
114138997658293
12154b529532344
1372b053455a00
1432a29da671d2
1517682073b184
hexbc4521c8e64

12937819098724 has 81 divisors (see below), whose sum is σ = 25204049598987. Its totient is φ = 5808360737088.

The previous prime is 12937819098713. The next prime is 12937819098727. The reversal of 12937819098724 is 42789091873921.

The square root of 12937819098724 is 3596918.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 53739585124 + 12884079513600 = 231818^2 + 3589440^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12937819098727) 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 26 ways as a sum of consecutive naturals, for example, 3460233247 + ... + 3460236985.

Almost surely, 212937819098724 is an apocalyptic number.

12937819098724 is the 3596918-th square number.

It is an amenable number.

12937819098724 is a deficient number, since it is larger than the sum of its proper divisors (12266230500263).

12937819098724 is an frugal number, since it uses more digits than its factorization.

12937819098724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7582 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 70.

The spelling of 12937819098724 in words is "twelve trillion, nine hundred thirty-seven billion, eight hundred nineteen million, ninety-eight thousand, seven hundred twenty-four".

Divisors: 1 2 4 13 26 37 52 74 148 169 338 481 676 962 1369 1924 2738 3739 5476 6253 7478 12506 14956 17797 25012 35594 48607 71188 97214 138343 194428 231361 276686 462722 553372 631891 925444 1263782 1798459 2527564 3596918 5118691 7193836 10237382 13980121 20474764 23379967 27960242 46759934 55920484 66542983 93519868 133085966 181741573 266171932 363483146 517264477 726966292 865058779 1034528954 1730117558 2069057908 2362640449 3460235116 4725280898 6724438201 9450561796 13448876402 19138785649 26897752804 38277571298 76555142596 87417696613 174835393226 248804213437 349670786452 497608426874 995216853748 3234454774681 6468909549362 12937819098724