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7945226496 = 28346192
BaseRepresentation
bin1110110011001001…
…01000100100000000
3202111201100022210000
413121210220210000
5112232434221441
63352221440000
7400614211434
oct73144504400
922451308700
107945226496
113407967299
121658a10000
139980a606c
145552ca9c4
153177cb2b6
hex1d9928900

7945226496 has 135 divisors (see below), whose sum is σ = 23729563011. Its totient is φ = 2644130304.

The previous prime is 7945226489. The next prime is 7945226501. The reversal of 7945226496 is 6946225497.

The square root of 7945226496 is 89136.

It is a perfect power (a square), and thus also a powerful number.

7945226496 is a `hidden beast` number, since 79 + 4 + 522 + 6 + 49 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12835275 + ... + 12835893.

Almost surely, 27945226496 is an apocalyptic number.

7945226496 is the 89136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7945226496

7945226496 is an abundant number, since it is smaller than the sum of its proper divisors (15784336515).

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

7945226496 is an frugal number, since it uses more digits than its factorization.

7945226496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 624 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The cubic root of 7945226496 is about 1995.4250843863.

Subtracting from 7945226496 its reverse (6946225497), we obtain a palindrome (999000999).

The spelling of 7945226496 in words is "seven billion, nine hundred forty-five million, two hundred twenty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 619 648 768 864 1152 1238 1296 1728 1857 2304 2476 2592 3456 3714 4952 5184 5571 6912 7428 9904 10368 11142 14856 16713 19808 20736 22284 29712 33426 39616 44568 50139 59424 66852 79232 89136 100278 118848 133704 158464 178272 200556 237696 267408 356544 383161 401112 475392 534816 713088 766322 802224 1069632 1149483 1426176 1532644 1604448 2139264 2298966 3065288 3208896 3448449 4278528 4597932 6130576 6417792 6896898 9195864 10345347 12261152 12835584 13793796 18391728 20690694 24522304 27587592 31036041 36783456 41381388 49044608 55175184 62072082 73566912 82762776 98089216 110350368 124144164 147133824 165525552 220700736 248288328 294267648 331051104 441401472 496576656 662102208 882802944 993153312 1324204416 1986306624 2648408832 3972613248 7945226496