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104825007616 = 297193734127
BaseRepresentation
bin110000110100000001…
…1101010111000000000
3101000120102202010101111
41201220003222320000
53204140200220431
6120053403413104
710400442602050
oct1415003527000
9330512663344
10104825007616
1140501a907aa
1218395824194
139b6732b834
145105bad560
152ad7b267b1
hex18680eae00

104825007616 has 160 divisors (see below), whose sum is σ = 252700968960. Its totient is φ = 42436141056.

The previous prime is 104825007607. The next prime is 104825007619. The reversal of 104825007616 is 616700528401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104825007619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25397745 + ... + 25401871.

It is an arithmetic number, because the mean of its divisors is an integer number (1579381056).

Almost surely, 2104825007616 is an apocalyptic number.

104825007616 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 104825007616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126350484480).

104825007616 is an abundant number, since it is smaller than the sum of its proper divisors (147875961344).

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

104825007616 is an equidigital number, since it uses as much as digits as its factorization.

104825007616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 104825007616 in words is "one hundred four billion, eight hundred twenty-five million, seven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 373 448 512 532 608 746 896 1064 1216 1492 1792 2128 2432 2611 2984 3584 4127 4256 4864 5222 5968 7087 8254 8512 9728 10444 11936 14174 16508 17024 20888 23872 28348 28889 33016 34048 41776 47744 49609 56696 57778 66032 68096 78413 83552 95488 99218 113392 115556 132064 156826 167104 190976 198436 226784 231112 264128 313652 334208 396872 453568 462224 528256 548891 627304 668416 793744 907136 924448 1056512 1097782 1254608 1336832 1539371 1587488 1814272 1848896 2113024 2195564 2509216 3078742 3174976 3628544 3697792 4391128 5018432 6157484 6349952 7395584 8782256 10036864 10775597 12314968 12699904 14791168 17564512 20073728 21551194 24629936 25399808 29248049 35129024 40147456 43102388 49259872 58496098 70258048 86204776 98519744 116992196 140516096 172409552 197039488 204736343 233984392 281032192 344819104 394078976 409472686 467968784 689638208 788157952 818945372 935937568 1379276416 1637890744 1871875136 2758552832 3275781488 3743750272 5517105664 6551562976 7487500544 13103125952 14975001088 26206251904 52412503808 104825007616