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320136912972 = 2232177319137517
BaseRepresentation
bin1001010100010011010…
…01011010000001001100
31010121022220002012021200
410222021221122001030
520221120022203342
6403022513025500
732062201601412
oct4521151320114
91117286065250
10320136912972
11113850a3a038
1252065255290
132425b9a2726
14116cd6a72b2
1584da47194c
hex4a89a5a04c

320136912972 has 144 divisors (see below), whose sum is σ = 873145308672. Its totient is φ = 98538024960.

The previous prime is 320136912959. The next prime is 320136913039. The reversal of 320136912972 is 279219631023.

320136912972 is a `hidden beast` number, since 3 + 201 + 369 + 12 + 9 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8514358 + ... + 8551874.

It is an arithmetic number, because the mean of its divisors is an integer number (6063509088).

Almost surely, 2320136912972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320136912972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436572654336).

320136912972 is an abundant number, since it is smaller than the sum of its proper divisors (553008395700).

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

320136912972 is a wasteful number, since it uses less digits than its factorization.

320136912972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37808 (or 37803 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 320136912972 in words is "three hundred twenty billion, one hundred thirty-six million, nine hundred twelve thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 73 102 146 153 191 204 219 292 306 382 438 573 612 657 764 876 1146 1241 1314 1719 2292 2482 2628 3247 3438 3723 4964 6494 6876 7446 9741 11169 12988 13943 14892 19482 22338 27886 29223 37517 38964 41829 44676 55772 58446 75034 83658 112551 116892 125487 150068 167316 225102 237031 250974 337653 450204 474062 501948 637789 675306 711093 948124 1275578 1350612 1422186 1913367 2133279 2551156 2738741 2844372 3826734 4266558 5477482 5740101 7165747 7653468 8216223 8533116 10954964 11480202 14331494 16432446 21497241 22960404 24648669 28662988 32864892 42994482 46558597 49297338 64491723 85988964 93117194 98594676 121817699 128983446 139675791 186234388 243635398 257966892 279351582 365453097 419027373 487270796 523099531 558703164 730906194 838054746 1046199062 1096359291 1461812388 1569298593 1676109492 2092398124 2192718582 3138597186 4385437164 4707895779 6277194372 8892692027 9415791558 17785384054 18831583116 26678076081 35570768108 53356152162 80034228243 106712304324 160068456486 320136912972