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16774003968 = 28341599029
BaseRepresentation
bin11111001111100111…
…01111110100000000
31121022000020200122020
433213303233310000
5233323121111333
611412245041440
71132450452441
oct174763576400
947260220566
1016774003968
1171285404a7
1233016b6280
131774236747
14b51a912c8
156829353b3
hex3e7cefd00

16774003968 has 144 divisors (see below), whose sum is σ = 46512446400. Its totient is φ = 5361909760.

The previous prime is 16774003933. The next prime is 16774004059. The reversal of 16774003968 is 86930047761.

It is a self number, because there is not a number n which added to its sum of digits gives 16774003968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1853278 + ... + 1862306.

It is an arithmetic number, because the mean of its divisors is an integer number (323003100).

Almost surely, 216774003968 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 16774003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256223200).

16774003968 is an abundant number, since it is smaller than the sum of its proper divisors (29738442432).

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

16774003968 is an equidigital number, since it uses as much as digits as its factorization.

16774003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9148 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 16774003968 in words is "sixteen billion, seven hundred seventy-four million, three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 59 64 82 96 118 123 128 164 177 192 236 246 256 328 354 384 472 492 656 708 768 944 984 1312 1416 1888 1968 2419 2624 2832 3776 3936 4838 5248 5664 7257 7552 7872 9029 9676 10496 11328 14514 15104 15744 18058 19352 22656 27087 29028 31488 36116 38704 45312 54174 58056 72232 77408 108348 116112 144464 154816 216696 232224 288928 309632 370189 433392 464448 532711 577856 619264 740378 866784 928896 1065422 1110567 1155712 1480756 1598133 1733568 1857792 2130844 2221134 2311424 2961512 3196266 3467136 4261688 4442268 5923024 6392532 6934272 8523376 8884536 11846048 12785064 17046752 17769072 21841151 23692096 25570128 34093504 35538144 43682302 47384192 51140256 65523453 68187008 71076288 87364604 94768384 102280512 131046906 136374016 142152576 174729208 204561024 262093812 284305152 349458416 409122048 524187624 698916832 1048375248 1397833664 2096750496 2795667328 4193500992 5591334656 8387001984 16774003968