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2996099424 = 253261199857
BaseRepresentation
bin1011001010010100…
…1101100101100000
321201210200121202100
42302211031211200
522114000140144
61213144450400
7134150265513
oct26245154540
97653617670
102996099424
1112a824692a
126b7479a00
13389949cc6
14205cacd7a
15128073269
hexb294d960

2996099424 has 144 divisors (see below), whose sum is σ = 8713504800. Its totient is φ = 976250880.

The previous prime is 2996099399. The next prime is 2996099429. The reversal of 2996099424 is 4249906992.

2996099424 is a `hidden beast` number, since 2 + 9 + 9 + 609 + 9 + 4 + 24 = 666.

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

It is a super-2 number, since 2×29960994242 = 17953223516986263552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996099429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3495604 + ... + 3496460.

It is an arithmetic number, because the mean of its divisors is an integer number (60510450).

Almost surely, 22996099424 is an apocalyptic number.

2996099424 is a gapful number since it is divisible by the number (24) 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 2996099424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356752400).

2996099424 is an abundant number, since it is smaller than the sum of its proper divisors (5717405376).

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

2996099424 is a wasteful number, since it uses less digits than its factorization.

2996099424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

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

The square root of 2996099424 is about 54736.6369445548. The cubic root of 2996099424 is about 1441.6242320914.

The spelling of 2996099424 in words is "two billion, nine hundred ninety-six million, ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 199 244 288 366 398 488 549 597 732 796 857 976 1098 1194 1464 1592 1714 1791 1952 2196 2388 2571 2928 3184 3428 3582 4392 4776 5142 5856 6368 6856 7164 7713 8784 9552 10284 12139 13712 14328 15426 17568 19104 20568 24278 27424 28656 30852 36417 41136 48556 52277 57312 61704 72834 82272 97112 104554 109251 123408 145668 156831 170543 194224 209108 218502 246816 291336 313662 341086 388448 418216 437004 470493 511629 582672 627324 682172 836432 874008 940986 1023258 1165344 1254648 1364344 1534887 1672864 1748016 1881972 2046516 2509296 2728688 3069774 3496032 3763944 4093032 5018592 5457376 6139548 7527888 8186064 10403123 12279096 15055776 16372128 20806246 24558192 31209369 41612492 49116384 62418738 83224984 93628107 124837476 166449968 187256214 249674952 332899936 374512428 499349904 749024856 998699808 1498049712 2996099424