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148991368036 = 22727923492
BaseRepresentation
bin1000101011000010010…
…0111101101101100100
3112020120110112200221011
42022300210331231210
54420113242234121
6152240134032004
713523100506200
oct2126044755544
9466513480834
10148991368036
115820681a015
1224a60aa8604
131108560c304
1472d5837b00
153d202957e1
hex22b093db64

148991368036 has 81 divisors (see below), whose sum is σ = 308074471929. Its totient is φ = 62864526816.

The previous prime is 148991368033. The next prime is 148991368037. The reversal of 148991368036 is 630863199841.

The square root of 148991368036 is 385994.

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., 109358521636 + 39632846400 = 330694^2 + 199080^2 .

It is not an unprimeable number, because it can be changed into a prime (148991368033) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 426909190 + ... + 426909538.

Almost surely, 2148991368036 is an apocalyptic number.

148991368036 is the 385994-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148991368036

148991368036 is an abundant number, since it is smaller than the sum of its proper divisors (159083103893).

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

148991368036 is an frugal number, since it uses more digits than its factorization.

148991368036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The spelling of 148991368036 in words is "one hundred forty-eight billion, nine hundred ninety-one million, three hundred sixty-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 79 98 158 196 316 349 553 698 1106 1396 2212 2443 3871 4886 6241 7742 9772 12482 15484 17101 24964 27571 34202 43687 55142 68404 87374 110284 121801 174748 192997 243602 305809 385994 487204 611618 771988 852607 1223236 1350979 1705214 2178109 2701958 3410428 4356218 5403916 5968249 8712436 9622279 11936498 15246763 19244558 23872996 30493526 38489116 60987052 67355953 106727341 134711906 213454682 269423812 426909364 471491671 760160041 942983342 1520320082 1885966684 3040640164 5321120287 10642240574 21284481148 37247842009 74495684018 148991368036