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148370329501696 = 216475812
BaseRepresentation
bin100001101111000100101000…
…110010010000000000000000
3201110100001202100220211102201
4201233010220302100000000
5123421344413323023241
61243320215521322544
743152255036111661
oct4157045062200000
9643301670824381
10148370329501696
1143303559aa72a5
12147831b7196454
1364a3353907b03
14288d23b377368
1512246bd10b931
hex86f128c90000

148370329501696 has 51 divisors (see below), whose sum is σ = 296744631672153. Its totient is φ = 74183605616640.

The previous prime is 148370329501679. The next prime is 148370329501721. The reversal of 148370329501696 is 696105923073841.

The square root of 148370329501696 is 12180736.

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., 108128053559296 + 40242275942400 = 10398464^2 + 6343680^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3118244626 + ... + 3118292206.

It is a 1-persistent number, because it is pandigital, but 2⋅148370329501696 = 296740659003392 is not.

Almost surely, 2148370329501696 is an apocalyptic number.

148370329501696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

148370329501696 is the 12180736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148370329501696

148370329501696 is an abundant number, since it is smaller than the sum of its proper divisors (148374302170457).

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

148370329501696 is an frugal number, since it uses more digits than its factorization.

148370329501696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95194 (or 47583 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

148370329501696 divided by its sum of digits (64) gives a square (2318286398464 = 15225922).

The spelling of 148370329501696 in words is "one hundred forty-eight trillion, three hundred seventy billion, three hundred twenty-nine million, five hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 47581 65536 95162 190324 380648 761296 1522592 3045184 6090368 12180736 24361472 48722944 97445888 194891776 389783552 779567104 1559134208 2263951561 3118268416 4527903122 9055806244 18111612488 36223224976 72446449952 144892899904 289785799808 579571599616 1159143199232 2318286398464 4636572796928 9273145593856 18546291187712 37092582375424 74185164750848 148370329501696