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5413101696 = 27341274111
BaseRepresentation
bin1010000101010010…
…10110000010000000
3111222020201001120000
411002221112002000
542041223223241
62253045320000
7251066414412
oct50251260200
914866631500
105413101696
112328611472
121070a06000
13683609772
14394cb69b2
1521a356eb6
hex142a56080

5413101696 has 160 divisors (see below), whose sum is σ = 16240097280. Its totient is φ = 1789724160.

The previous prime is 5413101649. The next prime is 5413101703. The reversal of 5413101696 is 6961013145.

5413101696 is a `hidden beast` number, since 541 + 3 + 10 + 16 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5413101696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1314681 + ... + 1318791.

It is an arithmetic number, because the mean of its divisors is an integer number (101500608).

Almost surely, 25413101696 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 5413101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120048640).

5413101696 is an abundant number, since it is smaller than the sum of its proper divisors (10826995584).

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

5413101696 is a wasteful number, since it uses less digits than its factorization.

5413101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 5413101696 is about 73573.7840266491. The cubic root of 5413101696 is about 1755.8283707220.

The spelling of 5413101696 in words is "five billion, four hundred thirteen million, one hundred one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 127 128 144 162 192 216 254 288 324 381 384 432 508 576 648 762 864 1016 1143 1152 1296 1524 1728 2032 2286 2592 3048 3429 3456 4064 4111 4572 5184 6096 6858 8128 8222 9144 10287 10368 12192 12333 13716 16256 16444 18288 20574 24384 24666 27432 32888 36576 36999 41148 48768 49332 54864 65776 73152 73998 82296 98664 109728 110997 131552 146304 147996 164592 197328 219456 221994 263104 295992 329184 332991 394656 438912 443988 522097 526208 591984 658368 665982 789312 887976 1044194 1183968 1316736 1331964 1566291 1578624 1775952 2088388 2367936 2663928 3132582 3551904 4176776 4698873 4735872 5327856 6265164 7103808 8353552 9397746 10655712 12530328 14096619 14207616 16707104 18795492 21311424 25060656 28193238 33414208 37590984 42289857 42622848 50121312 56386476 66828416 75181968 84579714 100242624 112772952 150363936 169159428 200485248 225545904 300727872 338318856 451091808 601455744 676637712 902183616 1353275424 1804367232 2706550848 5413101696