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145646623098 = 23419353134047
BaseRepresentation
bin1000011110100100110…
…1110001100101111010
3111220221100211001110000
42013221031301211322
54341241013414343
6150524212333430
713344154604214
oct2075115614572
9456840731400
10145646623098
115684a7a36a9
1224288914276
13109716917b2
1470995315b4
153bc6804ed3
hex21e937197a

145646623098 has 80 divisors (see below), whose sum is σ = 344508721920. Its totient is φ = 45863034624.

The previous prime is 145646623039. The next prime is 145646623127. The reversal of 145646623098 is 890326646541.

145646623098 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 4 + 6 + 623 + 0 + 9 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 39 ways as a sum of consecutive naturals, for example, 1019511 + ... + 1153557.

It is an arithmetic number, because the mean of its divisors is an integer number (4306359024).

Almost surely, 2145646623098 is an apocalyptic number.

145646623098 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145646623098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172254360960).

145646623098 is an abundant number, since it is smaller than the sum of its proper divisors (198862098822).

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

145646623098 is a wasteful number, since it uses less digits than its factorization.

145646623098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134433 (or 134424 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 145646623098 in words is "one hundred forty-five billion, six hundred forty-six million, six hundred twenty-three thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 353 513 706 1026 1059 1539 2118 3078 3177 6354 6707 9531 13414 19062 20121 28593 40242 57186 60363 120726 134047 181089 268094 362178 402141 543267 804282 1086534 1206423 2412846 2546893 3619269 5093786 7238538 7640679 10857807 15281358 21715614 22922037 45844074 47318591 68766111 94637182 137532222 141955773 206298333 283911546 412596666 425867319 851734638 899053229 1277601957 1798106458 2555203914 2697159687 3832805871 5394319374 7665611742 8091479061 16182958122 24274437183 48548874366 72823311549 145646623098