Search a number
-
+
1047621849156 = 223410125632
BaseRepresentation
bin11110011111010110010…
…00001101000001000100
310201011002120100000110000
433033223020031001010
5114131012143133111
62121134300001300
7135455021535261
oct17175310150104
93634076300400
101047621849156
1137432624a023
1214b052530230
1377a3742c8cc
14389c2da4268
151c3b744dc56
hexf3eb20d044

1047621849156 has 135 divisors (see below), whose sum is σ = 2770996496653. Its totient is φ = 345135664800.

The previous prime is 1047621849137. The next prime is 1047621849163. The reversal of 1047621849156 is 6519481267401.

The square root of 1047621849156 is 1023534.

It is a perfect power (a square), and thus also a powerful number.

1047621849156 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 621 + 8 + 4 + 9 + 1 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1006542666756 + 41079182400 = 1003266^2 + 202680^2 .

It is a super-3 number, since 3×10476218491563 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1860784531 + ... + 1860785093.

Almost surely, 21047621849156 is an apocalyptic number.

1047621849156 is the 1023534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047621849156

1047621849156 is an abundant number, since it is smaller than the sum of its proper divisors (1723374647497).

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

1047621849156 is an frugal number, since it uses more digits than its factorization.

1047621849156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1047621849156 in words is "one trillion, forty-seven billion, six hundred twenty-one million, eight hundred forty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 101 108 162 202 303 324 404 563 606 909 1126 1212 1689 1818 2252 2727 3378 3636 5067 5454 6756 8181 10134 10201 10908 15201 16362 20268 20402 30402 30603 32724 40804 45603 56863 60804 61206 91206 91809 113726 122412 170589 182412 183618 227452 275427 316969 341178 367236 511767 550854 633938 682356 826281 950907 1023534 1101708 1267876 1535301 1652562 1901814 2047068 2852721 3070602 3305124 3803628 4605903 5705442 5743163 6141204 8558163 9211806 11410884 11486326 17116326 17229489 18423612 22972652 25674489 32013869 34232652 34458978 51348978 51688467 64027738 68917956 96041607 102697956 103376934 128055476 155065401 192083214 206753868 288124821 310130802 384166428 465196203 576249642 620261604 864374463 930392406 1152499284 1728748926 1860784812 2593123389 3233400769 3457497852 5186246778 6466801538 9700202307 10372493556 12933603076 19400404614 29100606921 38800809228 58201213842 87301820763 116402427684 174603641526 261905462289 349207283052 523810924578 1047621849156