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2930692896 = 253247317683
BaseRepresentation
bin1010111010101110…
…1101001100100000
321120020121121212100
42232223231030200
522000224133041
61202450530400
7132424323105
oct25653551440
97506547770
102930692896
111274332a4a
12699596a00
13379229211
141db324aac
151224536b6
hexaeaed320

2930692896 has 144 divisors (see below), whose sum is σ = 8550831744. Its totient is φ = 951700992.

The previous prime is 2930692859. The next prime is 2930692901. The reversal of 2930692896 is 6982960392.

2930692896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4290571 + ... + 4291253.

It is an arithmetic number, because the mean of its divisors is an integer number (59380776).

Almost surely, 22930692896 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 2930692896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4275415872).

2930692896 is an abundant number, since it is smaller than the sum of its proper divisors (5620138848).

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

2930692896 is a wasteful number, since it uses less digits than its factorization.

2930692896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 2930692896 is about 54135.8743902784. The cubic root of 2930692896 is about 1431.0564667640.

The spelling of 2930692896 in words is "two billion, nine hundred thirty million, six hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 317 376 423 564 634 683 752 846 951 1128 1268 1366 1504 1692 1902 2049 2256 2536 2732 2853 3384 3804 4098 4512 5072 5464 5706 6147 6768 7608 8196 10144 10928 11412 12294 13536 14899 15216 16392 21856 22824 24588 29798 30432 32101 32784 44697 45648 49176 59596 64202 65568 89394 91296 96303 98352 119192 128404 134091 178788 192606 196704 216511 238384 256808 268182 288909 357576 385212 433022 476768 513616 536364 577818 649533 715152 770424 866044 1027232 1072728 1155636 1299066 1430304 1540848 1732088 1948599 2145456 2311272 2598132 3081696 3464176 3897198 4290912 4622544 5196264 6928352 7794396 9245088 10176017 10392528 15588792 20352034 20785056 30528051 31177584 40704068 61056102 62355168 81408136 91584153 122112204 162816272 183168306 244224408 325632544 366336612 488448816 732673224 976897632 1465346448 2930692896