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1630720664352 = 2532131014312433
BaseRepresentation
bin10111101110101110100…
…001101010001100100000
312202220011201121220222200
4113232232201222030200
5203204203442224402
63245050455133200
7225546530641113
oct27565641521440
95686151556880
101630720664352
1157964833629a
12224065074200
13baa126b4140
1458cda72c57a
152c64361321c
hex17bae86a320

1630720664352 has 144 divisors (see below), whose sum is σ = 5043529560888. Its totient is φ = 496792166400.

The previous prime is 1630720664323. The next prime is 1630720664411. The reversal of 1630720664352 is 2534660270361.

1630720664352 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 7 + 206 + 6 + 435 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1486536423696 + 144184240656 = 1219236^2 + 379716^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1630720664298 and 1630720664307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1778073 + ... + 2534360.

Almost surely, 21630720664352 is an apocalyptic number.

1630720664352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1630720664352 is an abundant number, since it is smaller than the sum of its proper divisors (3412808896536).

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

1630720664352 is a wasteful number, since it uses less digits than its factorization.

1630720664352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4312563 (or 4312552 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 1630720664352 in words is "one trillion, six hundred thirty billion, seven hundred twenty million, six hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 101 104 117 144 156 202 208 234 288 303 312 404 416 468 606 624 808 909 936 1212 1248 1313 1616 1818 1872 2424 2626 3232 3636 3744 3939 4848 5252 7272 7878 9696 10504 11817 14544 15756 21008 23634 29088 31512 42016 47268 63024 94536 126048 189072 378144 4312433 8624866 12937299 17249732 25874598 34499464 38811897 51749196 56061629 68998928 77623794 103498392 112123258 137997856 155247588 168184887 206996784 224246516 310495176 336369774 413993568 435555733 448493032 504554661 620990352 672739548 871111466 896986064 1009109322 1241980704 1306667199 1345479096 1742222932 1793972128 2018218644 2613334398 2690958192 3484445864 3920001597 4036437288 5226668796 5381916384 5662224529 6968891728 7840003194 8072874576 10453337592 11324449058 13937783456 15680006388 16145749152 16986673587 20906675184 22648898116 31360012776 33973347174 41813350368 45297796232 50960020761 62720025552 67946694348 90595592464 101920041522 125440051104 135893388696 181191184928 203840083044 271786777392 407680166088 543573554784 815360332176 1630720664352