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746661897216 = 2103290012
BaseRepresentation
bin10101101110110001000…
…01000110010000000000
32122101021011002101012100
422313120201012100000
544213130421202331
61331002311430400
7104641656260124
oct12673041062000
92571234071170
10746661897216
112687261a2714
1210085b685400
1355543776501
14281d257b584
151465086eae6
hexadd8846400

746661897216 has 99 divisors (see below), whose sum is σ = 2156209576833. Its totient is φ = 248859648000.

The previous prime is 746661897203. The next prime is 746661897221. The reversal of 746661897216 is 612798166647.

It is a happy number.

The square root of 746661897216 is 864096.

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

It can be written as a sum of positive squares in only one way, i.e., 133009007616 + 613652889600 = 364704^2 + 783360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82948716 + ... + 82957716.

Almost surely, 2746661897216 is an apocalyptic number.

746661897216 is the 864096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 746661897216

746661897216 is an abundant number, since it is smaller than the sum of its proper divisors (1409547679617).

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

746661897216 is an frugal number, since it uses more digits than its factorization.

746661897216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18028 (or 9006 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 746661897216 in words is "seven hundred forty-six billion, six hundred sixty-one million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9001 9216 18002 27003 36004 54006 72008 81009 108012 144016 162018 216024 288032 324036 432048 576064 648072 864096 1152128 1296144 1728192 2304256 2592288 3456384 4608512 5184576 6912768 9217024 10369152 13825536 20738304 27651072 41476608 81018001 82953216 162036002 243054003 324072004 486108006 648144008 729162009 972216012 1296288016 1458324018 1944432024 2592576032 2916648036 3888864048 5185152064 5833296072 7777728096 10370304128 11666592144 15555456192 20740608256 23333184288 31110912384 41481216512 46666368576 62221824768 82962433024 93332737152 124443649536 186665474304 248887299072 373330948608 746661897216