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2038214016 = 2739809
BaseRepresentation
bin111100101111100…
…1010110110000000
312021001021000000000
41321133022312000
513133240322031
6534130000000
7101336350626
oct17137126600
95231230000
102038214016
119565783a3
1248a716000
13266366cc7
141549a5516
15bde103e6
hex797cad80

2038214016 has 160 divisors (see below), whose sum is σ = 6098182200. Its totient is φ = 678564864.

The previous prime is 2038214011. The next prime is 2038214039. The reversal of 2038214016 is 6104128302.

2038214016 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2038214011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2519020 + ... + 2519828.

Almost surely, 22038214016 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 2038214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049091100).

2038214016 is an abundant number, since it is smaller than the sum of its proper divisors (4059968184).

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

2038214016 is an frugal number, since it uses more digits than its factorization.

2038214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2038214016 is about 45146.5836581241. The cubic root of 2038214016 is about 1267.8949184316.

The spelling of 2038214016 in words is "two billion, thirty-eight million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 809 864 972 1152 1296 1458 1618 1728 1944 2187 2427 2592 2916 3236 3456 3888 4374 4854 5184 5832 6472 6561 7281 7776 8748 9708 10368 11664 12944 13122 14562 15552 17496 19416 19683 21843 23328 25888 26244 29124 31104 34992 38832 39366 43686 46656 51776 52488 58248 65529 69984 77664 78732 87372 93312 103552 104976 116496 131058 139968 155328 157464 174744 196587 209952 232992 262116 279936 310656 314928 349488 393174 419904 465984 524232 589761 629856 698976 786348 839808 931968 1048464 1179522 1259712 1397952 1572696 1769283 2096928 2359044 2519424 2795904 3145392 3538566 4193856 4718088 5307849 6290784 7077132 8387712 9436176 10615698 12581568 14154264 15923547 18872352 21231396 25163136 28308528 31847094 37744704 42462792 56617056 63694188 75489408 84925584 113234112 127388376 169851168 226468224 254776752 339702336 509553504 679404672 1019107008 2038214016