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104545261536 = 253432233372
BaseRepresentation
bin110000101011101100…
…0100001011111100000
3100222211221100112220120
41201113120201133200
53203102041332121
6120005531440240
710360505026602
oct1412730413740
9328757315816
10104545261536
11403790903a1
1218317bb6080
139b213a2901
1450ba98d172
152abd2b8bc6
hex18576217e0

104545261536 has 144 divisors (see below), whose sum is σ = 282912182784. Its totient is φ = 33784805376.

The previous prime is 104545261531. The next prime is 104545261537. The reversal of 104545261536 is 635162545401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104545261531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310223160 + ... + 310223496.

It is an arithmetic number, because the mean of its divisors is an integer number (1964667936).

Almost surely, 2104545261536 is an apocalyptic number.

104545261536 is a gapful number since it is divisible by the number (16) 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 104545261536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141456091392).

104545261536 is an abundant number, since it is smaller than the sum of its proper divisors (178366921248).

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

104545261536 is an equidigital number, since it uses as much as digits as its factorization.

104545261536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 104545261536 in words is "one hundred four billion, five hundred forty-five million, two hundred sixty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 223 258 337 344 446 516 669 674 688 892 1011 1032 1338 1348 1376 1784 2022 2064 2676 2696 3568 4044 4128 5352 5392 7136 8088 9589 10704 10784 14491 16176 19178 21408 28767 28982 32352 38356 43473 57534 57964 75151 76712 86946 113569 115068 115928 150302 153424 173892 225453 227138 230136 231856 300604 306848 340707 347784 450906 454276 460272 463712 601208 681414 695568 901812 908552 920544 1202416 1362828 1391136 1803624 1817104 2404832 2725656 3231493 3607248 3634208 4883467 5451312 6462986 7214496 9694479 9766934 10902624 12925972 14650401 19388958 19533868 25325887 25851944 29300802 38777916 39067736 50651774 51703888 58601604 75977661 77555832 78135472 101303548 103407776 117203208 151955322 155111664 156270944 202607096 234406416 303910644 310223328 405214192 468812832 607821288 810428384 1089013141 1215642576 2178026282 2431285152 3267039423 4356052564 6534078846 8712105128 13068157692 17424210256 26136315384 34848420512 52272630768 104545261536