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145199960576 = 291131831653
BaseRepresentation
bin1000011100111010010…
…1111001001000000000
3111212210020100020122122
42013032211321020000
54334332142214301
6150412015023412
713330122205136
oct2071645711000
9455706306578
10145199960576
1156640657520
122418320ab68
13108ccc92c48
1470560a1756
153b9c4c581b
hex21ce979200

145199960576 has 80 divisors (see below), whose sum is σ = 326700304128. Its totient is φ = 63870873600.

The previous prime is 145199960537. The next prime is 145199960611. The reversal of 145199960576 is 675069991541.

It is a super-3 number, since 3×1451999605763 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241235 + ... + 590418.

Almost surely, 2145199960576 is an apocalyptic number.

145199960576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145199960576 is an abundant number, since it is smaller than the sum of its proper divisors (181500343552).

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

145199960576 is an equidigital number, since it uses as much as digits as its factorization.

145199960576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831713 (or 831697 counting only the distinct ones).

The product of its (nonzero) digits is 18370800, while the sum is 62.

The spelling of 145199960576 in words is "one hundred forty-five billion, one hundred ninety-nine million, nine hundred sixty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1364 1408 1984 2728 2816 3968 5456 5632 7936 10912 15872 21824 43648 87296 174592 831653 1663306 3326612 6653224 9148183 13306448 18296366 25781243 26612896 36592732 51562486 53225792 73185464 103124972 106451584 146370928 206249944 212903168 283593673 292741856 412499888 425806336 567187346 585483712 824999776 1134374692 1170967424 1649999552 2268749384 2341934848 3299999104 4537498768 4683869696 6599998208 9074997536 13199996416 18149995072 36299990144 72599980288 145199960576