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374022545408 = 2132922332
BaseRepresentation
bin1010111000101010111…
…10110010000000000000
31022202102021101221112222
411130111132302000000
522111444232423113
6443453521110212
736010425115541
oct5342536620000
91282367357488
10374022545408
11134692a81266
12605a3488368
132936875c835
141416209a4c8
159ae0ee9e08
hex57157b2000

374022545408 has 126 divisors (see below), whose sum is σ = 778021019139. Its totient is φ = 179787661312.

The previous prime is 374022545401. The next prime is 374022545459. The reversal of 374022545408 is 804545220473.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 83423924224 + 290598621184 = 288832^2 + 539072^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=432448.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (374022545401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1605246860 + ... + 1605247092.

Almost surely, 2374022545408 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 374022545408

374022545408 is an abundant number, since it is smaller than the sum of its proper divisors (403998473731).

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

374022545408 is an frugal number, since it uses more digits than its factorization.

374022545408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 44.

The spelling of 374022545408 in words is "three hundred seventy-four billion, twenty-two million, five hundred forty-five thousand, four hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 233 256 464 466 512 841 928 932 1024 1682 1856 1864 2048 3364 3712 3728 4096 6728 6757 7424 7456 8192 13456 13514 14848 14912 26912 27028 29696 29824 53824 54056 54289 59392 59648 107648 108112 108578 118784 119296 195953 215296 216224 217156 237568 238592 391906 430592 432448 434312 477184 783812 861184 864896 868624 954368 1567624 1574381 1722368 1729792 1737248 1908736 3135248 3148762 3444736 3459584 3474496 6270496 6297524 6889472 6919168 6948992 12540992 12595048 13838336 13897984 25081984 25190096 27676672 27795968 45657049 50163968 50380192 55353344 55591936 91314098 100327936 100760384 111183872 182628196 200655872 201520768 222367744 365256392 401311744 403041536 444735488 730512784 802623488 806083072 1461025568 1605246976 1612166144 2922051136 3224332288 5844102272 6448664576 11688204544 12897329152 23376409088 46752818176 93505636352 187011272704 374022545408