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5045105104 = 2413374159271
BaseRepresentation
bin1001011001011011…
…00011000111010000
3111000121020220010121
410230231203013100
540313021330404
62152342040024
7236010454144
oct45455430720
914017226117
105045105104
112159915156
12b89719014
136252c1cc0
1435c083224
151e7db5e54
hex12cb631d0

5045105104 has 160 divisors (see below), whose sum is σ = 11304276480. Its totient is φ = 2164838400.

The previous prime is 5045105083. The next prime is 5045105111. The reversal of 5045105104 is 4015015405.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18616489 + ... + 18616759.

It is an arithmetic number, because the mean of its divisors is an integer number (70651728).

Almost surely, 25045105104 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 5045105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652138240).

5045105104 is an abundant number, since it is smaller than the sum of its proper divisors (6259171376).

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

5045105104 is a wasteful number, since it uses less digits than its factorization.

5045105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 5045105104 is about 71028.9032999947. The cubic root of 5045105104 is about 1715.1024714730.

The spelling of 5045105104 in words is "five billion, forty-five million, one hundred five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 37 41 52 59 74 82 104 118 148 164 208 236 271 296 328 472 481 533 542 592 656 767 944 962 1066 1084 1517 1534 1924 2132 2168 2183 2419 3034 3068 3523 3848 4264 4336 4366 4838 6068 6136 7046 7696 8528 8732 9676 10027 11111 12136 12272 14092 15989 17464 19352 19721 20054 22222 24272 28184 28379 31447 31978 34928 38704 39442 40108 44444 56368 56758 62894 63956 78884 80216 88888 89503 113516 125788 127912 130351 144443 157768 160432 177776 179006 207857 227032 251576 255824 260702 288886 315536 358012 411107 415714 454064 503152 521404 577772 591593 655549 716024 822214 831428 1042808 1155544 1163539 1183186 1311098 1432048 1644428 1662856 2085616 2311088 2327078 2366372 2622196 3288856 3325712 4654156 4732744 5244392 5344391 6577712 7690709 8522137 9308312 9465488 10488784 10688782 15381418 17044274 18616624 21377564 24255313 30762836 34088548 42755128 48510626 61525672 68177096 85510256 97021252 123051344 136354192 194042504 315319069 388085008 630638138 1261276276 2522552552 5045105104