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104126400510 = 235114710762743
BaseRepresentation
bin110000011111001101…
…0101100011111111110
3100221202202012012121020
41200332122230133332
53201222324304020
6115500210045010
710344230541456
oct1407632543776
9327682165536
10104126400510
1140183702960
121821b879766
139a85689452
14507b0b8d66
152a9662bc40
hex183e6ac7fe

104126400510 has 128 divisors (see below), whose sum is σ = 281028870144. Its totient is φ = 24474399360.

The previous prime is 104126400509. The next prime is 104126400563. The reversal of 104126400510 is 15004621401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1628199 + ... + 1690941.

It is an arithmetic number, because the mean of its divisors is an integer number (2195538048).

Almost surely, 2104126400510 is an apocalyptic number.

104126400510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104126400510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140514435072).

104126400510 is an abundant number, since it is smaller than the sum of its proper divisors (176902469634).

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

104126400510 is a wasteful number, since it uses less digits than its factorization.

104126400510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62918.

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 104126400510 in words is "one hundred four billion, one hundred twenty-six million, four hundred thousand, five hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 107 110 141 165 214 235 282 321 330 470 517 535 642 705 1034 1070 1177 1410 1551 1605 2354 2585 3102 3210 3531 5029 5170 5885 7062 7755 10058 11770 15087 15510 17655 25145 30174 35310 50290 55319 62743 75435 110638 125486 150870 165957 188229 276595 313715 331914 376458 553190 627430 690173 829785 941145 1380346 1659570 1882290 2070519 2948921 3450865 4141038 5897842 6713501 6901730 8846763 10352595 13427002 14744605 17693526 20140503 20705190 29489210 32438131 33567505 40281006 44233815 64876262 67135010 73848511 88467630 97314393 100702515 147697022 162190655 194628786 201405030 221545533 315534547 324381310 369242555 443091066 486571965 631069094 738485110 946603641 973143930 1107727665 1577672735 1893207282 2215455330 3155345470 3470880017 4733018205 6941760034 9466036410 10412640051 17354400085 20825280102 34708800170 52063200255 104126400510