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419204470272 = 293738988511
BaseRepresentation
bin1100001100110101000…
…10001001011000000000
31111002001002011112121120
412012122202021120000
523332012321022042
6520325130352240
742200164130160
oct6063242113000
91432032145546
10419204470272
11151868aa4135
12692b288b680
13306b9269a13
141640a9645a0
15ad878c1dec
hex619a889600

419204470272 has 80 divisors (see below), whose sum is σ = 1276327928832. Its totient is φ = 119772702720.

The previous prime is 419204470259. The next prime is 419204470301. The reversal of 419204470272 is 272074402914.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19483504 + ... + 19505007.

Almost surely, 2419204470272 is an apocalyptic number.

419204470272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

419204470272 is an abundant number, since it is smaller than the sum of its proper divisors (857123458560).

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

419204470272 is an equidigital number, since it uses as much as digits as its factorization.

419204470272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38988539 (or 38988523 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 419204470272 in words is "four hundred nineteen billion, two hundred four million, four hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 38988511 77977022 116965533 155954044 233931066 272919577 311908088 467862132 545839154 623816176 818758731 935724264 1091678308 1247632352 1637517462 1871448528 2183356616 2495264704 3275034924 3742897056 4366713232 4990529408 6550069848 7485794112 8733426464 9981058816 13100139696 14971588224 17466852928 19962117632 26200279392 29943176448 34933705856 52400558784 59886352896 69867411712 104801117568 139734823424 209602235136 419204470272