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1010505835044 = 22321492299072
BaseRepresentation
bin11101011010001101101…
…01110110001000100100
310120121021220000010211200
432231012311312020210
5113024003443210134
62052115303002500
7133002163606506
oct16550665661044
93517256003750
101010505835044
1135a60a2222a2
12143a14439430
13743a0a01c94
1436ca183dd76
151b443c41499
hexeb46d76224

1010505835044 has 108 divisors (see below), whose sum is σ = 2585557201500. Its totient is φ = 332746344576.

The previous prime is 1010505834847. The next prime is 1010505835049. The reversal of 1010505835044 is 4405385050101.

1010505835044 is a `hidden beast` number, since 10 + 10 + 5 + 0 + 583 + 50 + 4 + 4 = 666.

1010505835044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 547765772544 + 462740062500 = 740112^2 + 680250^2 .

It is a super-2 number, since 2×10105058350442 (a number of 25 digits) contains 22 as substring.

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 (1010505835049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1114118439 + ... + 1114119345.

Almost surely, 21010505835044 is an apocalyptic number.

It is an amenable number.

1010505835044 is an abundant number, since it is smaller than the sum of its proper divisors (1575051366456).

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

1010505835044 is a wasteful number, since it uses less digits than its factorization.

1010505835044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 1010505835044 in words is "one trillion, ten billion, five hundred five million, eight hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 149 229 298 447 458 596 687 894 907 916 1341 1374 1788 1814 2061 2682 2721 2748 3628 4122 5364 5442 8163 8244 10884 16326 32652 34121 68242 102363 135143 136484 204726 207703 270286 307089 405429 409452 415406 540572 614178 623109 810858 822649 830812 1216287 1228356 1246218 1621716 1645298 1869327 2432574 2467947 2492436 3290596 3738654 4865148 4935894 7403841 7477308 9871788 14807682 29615364 30947747 61895494 92843241 122574701 123790988 185686482 188386621 245149402 278529723 367724103 371372964 376773242 490298804 557059446 565159863 735448206 753546484 1103172309 1114118892 1130319726 1470896412 1695479589 2206344618 2260639452 3390959178 4412689236 6781918356 28069606529 56139213058 84208819587 112278426116 168417639174 252626458761 336835278348 505252917522 1010505835044