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10055543004 = 223213139331467
BaseRepresentation
bin10010101110101101…
…10110100011011100
3221221210021111210200
421113112312203130
5131043204334004
64341445103500
7504120463623
oct112726664334
927853244720
1010055543004
1142a0101321
121b476b7b90
13c43366860
146b56a06ba
153dcbd0239
hex2575b68dc

10055543004 has 144 divisors (see below), whose sum is σ = 27712863360. Its totient is φ = 3055916160.

The previous prime is 10055542963. The next prime is 10055543009. The reversal of 10055543004 is 40034555001.

10055543004 is a `hidden beast` number, since 100 + 5 + 554 + 3 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×100555430042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055543009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21531979 + ... + 21532445.

It is an arithmetic number, because the mean of its divisors is an integer number (192450440).

Almost surely, 210055543004 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 10055543004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856431680).

10055543004 is an abundant number, since it is smaller than the sum of its proper divisors (17657320356).

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

10055543004 is a wasteful number, since it uses less digits than its factorization.

10055543004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10055543004 in words is "ten billion, fifty-five million, five hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 139 156 234 278 331 417 467 468 556 662 834 934 993 1251 1324 1401 1668 1807 1868 1986 2502 2802 2979 3614 3972 4203 4303 5004 5421 5604 5958 6071 7228 8406 8606 10842 11916 12142 12909 16263 16812 17212 18213 21684 24284 25818 32526 36426 38727 46009 51636 54639 64913 65052 72852 77454 92018 109278 129826 138027 154577 154908 184036 194739 218556 259652 276054 309154 389478 414081 463731 552108 584217 598117 618308 778956 828162 843869 927462 1168434 1196234 1391193 1656324 1687738 1794351 1854924 2009501 2336868 2392468 2531607 2782386 3375476 3588702 4019002 5063214 5383053 5564772 6028503 7177404 7594821 8038004 10126428 10766106 12057006 15189642 18085509 21486203 21532212 24114012 30379284 36171018 42972406 64458609 72342036 85944812 128917218 193375827 257834436 279320639 386751654 558641278 773503308 837961917 1117282556 1675923834 2513885751 3351847668 5027771502 10055543004