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145465902648 = 233311419146117
BaseRepresentation
bin1000011101111001110…
…0011000011000111000
3111220110202202111121000
42013132130120120320
54340403232341043
6150454235045000
713336531525353
oct2073634303070
9456422674530
10145465902648
1156767789760
12242382a0760
13109430c7a11
14707d52b29a
153bb5a082d3
hex21de718638

145465902648 has 128 divisors (see below), whose sum is σ = 441860832000. Its totient is φ = 43975071360.

The previous prime is 145465902623. The next prime is 145465902653. The reversal of 145465902648 is 846209564541.

It is a happy number.

145465902648 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 6 + 590 + 2 + 6 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 145465902594 and 145465902603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922486 + ... + 1068602.

It is an arithmetic number, because the mean of its divisors is an integer number (3452037750).

Almost surely, 2145465902648 is an apocalyptic number.

145465902648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145465902648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220930416000).

145465902648 is an abundant number, since it is smaller than the sum of its proper divisors (296394929352).

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

145465902648 is a wasteful number, since it uses less digits than its factorization.

145465902648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146562 (or 146552 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 145465902648 in words is "one hundred forty-five billion, four hundred sixty-five million, nine hundred two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 419 594 792 838 1188 1257 1676 2376 2514 3352 3771 4609 5028 7542 9218 10056 11313 13827 15084 18436 22626 27654 30168 36872 41481 45252 55308 82962 90504 110616 124443 146117 165924 248886 292234 331848 438351 497772 584468 876702 995544 1168936 1315053 1607287 1753404 2630106 3214574 3506808 3945159 4821861 5260212 6429148 7890318 9643722 10520424 12858296 14465583 15780636 19287444 28931166 31561272 38574888 43396749 57862332 61223023 86793498 115724664 122446046 173586996 183669069 244892092 347173992 367338138 489784184 551007207 673453253 734676276 1102014414 1346906506 1469352552 1653021621 2020359759 2204028828 2693813012 3306043242 4040719518 4408057656 5387626024 6061079277 6612086484 8081439036 12122158554 13224172968 16162878072 18183237831 24244317108 36366475662 48488634216 72732951324 145465902648