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7374716928 = 214345557
BaseRepresentation
bin1101101111001000…
…10100000000000000
3201000221211102210000
412313210110000000
5110100411420203
63215441440000
7350516026305
oct66744240000
921027742700
107374716928
113144920a87
121519940000
13906b34537
144dd61d0ac
152d26864a3
hex1b7914000

7374716928 has 150 divisors (see below), whose sum is σ = 22036397306. Its totient is φ = 2457796608.

The previous prime is 7374716927. The next prime is 7374716929. The reversal of 7374716928 is 8296174737.

It is an interprime number because it is at equal distance from previous prime (7374716927) and next prime (7374716929).

It can be written as a sum of positive squares in only one way, i.e., 7267221504 + 107495424 = 85248^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7374716927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1324326 + ... + 1329882.

Almost surely, 27374716928 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 7374716928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11018198653).

7374716928 is an abundant number, since it is smaller than the sum of its proper divisors (14661680378).

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

7374716928 is an frugal number, since it uses more digits than its factorization.

7374716928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5562 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 7374716928 is about 85876.1720618706. The cubic root of 7374716928 is about 1946.4733037020.

The spelling of 7374716928 in words is "seven billion, three hundred seventy-four million, seven hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4096 4608 5184 5557 6144 6912 8192 9216 10368 11114 12288 13824 16384 16671 18432 20736 22228 24576 27648 33342 36864 41472 44456 49152 50013 55296 66684 73728 82944 88912 100026 110592 133368 147456 150039 165888 177824 200052 221184 266736 300078 331776 355648 400104 442368 450117 533472 600156 663552 711296 800208 900234 1066944 1200312 1327104 1422592 1600416 1800468 2133888 2400624 2845184 3200832 3600936 4267776 4801248 5690368 6401664 7201872 8535552 9602496 11380736 12803328 14403744 17071104 19204992 22761472 25606656 28807488 34142208 38409984 45522944 51213312 57614976 68284416 76819968 91045888 102426624 115229952 136568832 153639936 204853248 230459904 273137664 307279872 409706496 460919808 614559744 819412992 921839616 1229119488 1843679232 2458238976 3687358464 7374716928