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116384687104 = 2107215232
BaseRepresentation
bin110110001100100010…
…0010110010000000000
3102010102001022200112211
41230121010112100000
53401323434441404
6125244423431504
711260056342400
oct1543104262000
9363361280484
10116384687104
11453a4138024
121a680bb5594
13ac8a1a537a
1458c112c800
1530628bbb04
hex1b19116400

116384687104 has 99 divisors (see below), whose sum is σ = 270818142987. Its totient is φ = 49846401024.

The previous prime is 116384687087. The next prime is 116384687113. The reversal of 116384687104 is 401786483611.

It is a happy number.

The square root of 116384687104 is 341152.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 76417287 + ... + 76418809.

Almost surely, 2116384687104 is an apocalyptic number.

116384687104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

116384687104 is the 341152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116384687104

116384687104 is an abundant number, since it is smaller than the sum of its proper divisors (154433455883).

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

116384687104 is an frugal number, since it uses more digits than its factorization.

116384687104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

Multiplying 116384687104 by its sum of digits (49), we get a square (5702849668096 = 23880642).

116384687104 divided by its sum of digits (49) gives a square (2375197696 = 487362).

The spelling of 116384687104 in words is "one hundred sixteen billion, three hundred eighty-four million, six hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1523 1568 1792 3046 3136 3584 6092 6272 7168 10661 12184 12544 21322 24368 25088 42644 48736 50176 74627 85288 97472 149254 170576 194944 298508 341152 389888 597016 682304 779776 1194032 1364608 1559552 2319529 2388064 2729216 4639058 4776128 5458432 9278116 9552256 10916864 16236703 18556232 19104512 32473406 37112464 38209024 64946812 74224928 76418048 113656921 129893624 148449856 227313842 259787248 296899712 454627684 519574496 593799424 909255368 1039148992 1187598848 1818510736 2078297984 2375197696 3637021472 4156595968 7274042944 8313191936 14548085888 16626383872 29096171776 58192343552 116384687104