Search a number
-
+
1993322496 = 21231114747
BaseRepresentation
bin111011011001111…
…1011000000000000
312010220210021102010
41312303323000000
513040242304441
6525443452520
7100252650564
oct16663730000
95126707363
101993322496
119331a6770
12477687140
13259c79b89
1414ca3b6a4
15b9ee4116
hex76cfb000

1993322496 has 104 divisors (see below), whose sum is σ = 5798441664. Its totient is φ = 603996160.

The previous prime is 1993322489. The next prime is 1993322503. The reversal of 1993322496 is 6942233991.

It is an interprime number because it is at equal distance from previous prime (1993322489) and next prime (1993322503).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127795 + ... + 142541.

Almost surely, 21993322496 is an apocalyptic number.

1993322496 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 1993322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899220832).

1993322496 is an abundant number, since it is smaller than the sum of its proper divisors (3805119168).

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

1993322496 is a wasteful number, since it uses less digits than its factorization.

1993322496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14785 (or 14763 counting only the distinct ones).

The product of its digits is 629856, while the sum is 48.

The square root of 1993322496 is about 44646.6403663254. The cubic root of 1993322496 is about 1258.5172984995.

The spelling of 1993322496 in words is "one billion, nine hundred ninety-three million, three hundred twenty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8448 11264 12288 14747 16896 22528 29494 33792 44241 45056 58988 67584 88482 117976 135168 162217 176964 235952 324434 353928 471904 486651 648868 707856 943808 973302 1297736 1415712 1887616 1946604 2595472 2831424 3775232 3893208 5190944 5662848 7550464 7786416 10381888 11325696 15100928 15572832 20763776 22651392 30201856 31145664 41527552 45302784 60403712 62291328 83055104 90605568 124582656 166110208 181211136 249165312 332220416 498330624 664440832 996661248 1993322496