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2930716992 = 263719711069
BaseRepresentation
bin1010111010101111…
…0011000101000000
321120020122211220210
42232223303011000
522000230420432
61202451234120
7132424453260
oct25653630500
97506584823
102930716992
11127434a065
126995a8940
13379237188
141db32d7a0
1512245a8cc
hexaeaf3140

2930716992 has 112 divisors (see below), whose sum is σ = 8907719040. Its totient is φ = 833021952.

The previous prime is 2930716981. The next prime is 2930716993. The reversal of 2930716992 is 2996170392.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2930716993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 259234 + ... + 270302.

Almost surely, 22930716992 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 2930716992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453859520).

2930716992 is an abundant number, since it is smaller than the sum of its proper divisors (5977002048).

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

2930716992 is a wasteful number, since it uses less digits than its factorization.

2930716992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11278 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 2930716992 is about 54136.0969409506. The cubic root of 2930716992 is about 1431.0603887765.

The spelling of 2930716992 in words is "two billion, nine hundred thirty million, seven hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 197 224 336 394 448 591 672 788 1182 1344 1379 1576 2364 2758 3152 4137 4728 5516 6304 8274 9456 11032 11069 12608 16548 18912 22064 22138 33096 33207 37824 44128 44276 66192 66414 77483 88256 88552 132384 132828 154966 177104 232449 264768 265656 309932 354208 464898 531312 619864 708416 929796 1062624 1239728 1859592 2125248 2180593 2479456 3719184 4361186 4958912 6541779 7438368 8722372 13083558 14876736 15264151 17444744 26167116 30528302 34889488 45792453 52334232 61056604 69778976 91584906 104668464 122113208 139557952 183169812 209336928 244226416 366339624 418673856 488452832 732679248 976905664 1465358496 2930716992