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1030533364512 = 253227767719081
BaseRepresentation
bin11101111111100001001…
…00110011101100100000
310122111222122100001102100
432333300210303230200
5113341013020131022
62105230454250400
7134311402032321
oct16776044635440
93574878301370
101030533364512
11368057244643
12147883656a00
1376242cc8232
1437c41650448
151bc170e91ac
hexeff0933b20

1030533364512 has 144 divisors (see below), whose sum is σ = 2945657732472. Its totient is φ = 341747527680.

The previous prime is 1030533364493. The next prime is 1030533364517. The reversal of 1030533364512 is 2154633350301.

1030533364512 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 5 + 3 + 3 + 3 + 645 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 875489576976 + 155043787536 = 935676^2 + 393756^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1030533364517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53998812 + ... + 54017892.

Almost surely, 21030533364512 is an apocalyptic number.

1030533364512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030533364512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472828866236).

1030533364512 is an abundant number, since it is smaller than the sum of its proper divisors (1915124367960).

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

1030533364512 is a wasteful number, since it uses less digits than its factorization.

1030533364512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20051 (or 20040 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 1030533364512 in words is "one trillion, thirty billion, five hundred thirty-three million, three hundred sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 277 288 554 677 831 1108 1354 1662 2031 2216 2493 2708 3324 4062 4432 4986 5416 6093 6648 8124 8864 9972 10832 12186 13296 16248 19081 19944 21664 24372 26592 32496 38162 39888 48744 57243 64992 76324 79776 97488 114486 152648 171729 187529 194976 228972 305296 343458 375058 457944 562587 610592 686916 750116 915888 1125174 1373832 1500232 1687761 1831776 2250348 2747664 3000464 3375522 4500696 5285437 5495328 6000928 6751044 9001392 10570874 12917837 13502088 15856311 18002784 21141748 25835674 27004176 31712622 38753511 42283496 47568933 51671348 54008352 63425244 77507022 84566992 95137866 103342696 116260533 126850488 155014044 169133984 190275732 206685392 232521066 253700976 310028088 380551464 413370784 465042132 507401952 620056176 761102928 930084264 1240112352 1522205856 1860168528 3578240849 3720337056 7156481698 10734722547 14312963396 21469445094 28625926792 32204167641 42938890188 57251853584 64408335282 85877780376 114503707168 128816670564 171755560752 257633341128 343511121504 515266682256 1030533364512