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1372810057344 = 27321129848557
BaseRepresentation
bin10011111110100001110…
…110110001011010000000
311212020110111022121002200
4103332201312301122000
5134443003333313334
62530354335513200
7201116340645135
oct23764166613200
94766414277080
101372810057344
1148a229540a00
121a2087388800
139c5bc7809cb
144a63148258c
1525a9b0aa799
hex13fa1db1680

1372810057344 has 144 divisors (see below), whose sum is σ = 4342179979410. Its totient is φ = 416003005440.

The previous prime is 1372810057343. The next prime is 1372810057349. The reversal of 1372810057344 is 4437500182731.

1372810057344 is a `hidden beast` number, since 1 + 3 + 7 + 28 + 10 + 0 + 573 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1370866305600 + 1943751744 = 1170840^2 + 44088^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1372810057344.

It is not an unprimeable number, because it can be changed into a prime (1372810057343) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4784887 + ... + 5063670.

Almost surely, 21372810057344 is an apocalyptic number.

It is an amenable number.

1372810057344 is an abundant number, since it is smaller than the sum of its proper divisors (2969369922066).

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

1372810057344 is a wasteful number, since it uses less digits than its factorization.

1372810057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9848599 (or 9848573 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1372810057344 in words is "one trillion, three hundred seventy-two billion, eight hundred ten million, fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1936 2112 2178 2904 3168 3872 4224 4356 5808 6336 7744 8712 11616 12672 15488 17424 23232 34848 46464 69696 139392 9848557 19697114 29545671 39394228 59091342 78788456 88637013 108334127 118182684 157576912 177274026 216668254 236365368 315153824 325002381 354548052 433336508 472730736 630307648 650004762 709096104 866673016 945461472 975007143 1191675397 1260615296 1300009524 1418192208 1733346032 1890922944 1950014286 2383350794 2600019048 2836384416 3466692064 3575026191 3781845888 3900028572 4766701588 5200038096 5672768832 6933384128 7150052382 7800057144 9533403176 10400076192 10725078573 11345537664 13866768256 14300104764 15600114288 19066806352 20800152384 21450157146 28600209528 31200228576 38133612704 41600304768 42900314292 57200419056 62400457152 76267225408 85800628584 114400838112 124800914304 152534450816 171601257168 228801676224 343202514336 457603352448 686405028672 1372810057344