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146102550016 = 291737453667
BaseRepresentation
bin1000100000010001100…
…0111111111000000000
3111222010010201112121011
42020010120333320000
54343204223100031
6151041340410304
713361362120213
oct2100430777000
9458103645534
10146102550016
1156a64098305
1224395546994
1310a14c85137
1470ddcd377a
153c018646b1
hex220463fe00

146102550016 has 80 divisors (see below), whose sum is σ = 317446016976. Its totient is φ = 66895773696.

The previous prime is 146102549969. The next prime is 146102550019. The reversal of 146102550016 is 610055201641.

It is a self number, because there is not a number n which added to its sum of digits gives 146102550016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146102550019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95215 + ... + 548881.

Almost surely, 2146102550016 is an apocalyptic number.

146102550016 is a gapful number since it is divisible by the number (16) 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 146102550016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158723008488).

146102550016 is an abundant number, since it is smaller than the sum of its proper divisors (171343466960).

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

146102550016 is an equidigital number, since it uses as much as digits as its factorization.

146102550016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453739 (or 453723 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 146102550016 its reverse (610055201641), we get a palindrome (756157751657).

The spelling of 146102550016 in words is "one hundred forty-six billion, one hundred two million, five hundred fifty thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 512 544 592 629 1088 1184 1258 2176 2368 2516 4352 4736 5032 8704 9472 10064 18944 20128 40256 80512 161024 322048 453667 907334 1814668 3629336 7258672 7712339 14517344 15424678 16785679 29034688 30849356 33571358 58069376 61698712 67142716 116138752 123397424 134285432 232277504 246794848 268570864 285356543 493589696 537141728 570713086 987179392 1074283456 1141426172 1974358784 2148566912 2282852344 3948717568 4297133824 4565704688 8594267648 9131409376 18262818752 36525637504 73051275008 146102550016