Search a number
-
+
146660237024664 = 23311250999904459
BaseRepresentation
bin100001010110001011111111…
…010101001001110110011000
3201020021120201002020001110010
4201112023333111021312120
5123210340131134242124
61235530441024521520
742614565251644056
oct4126137725116630
9636246632201403
10146660237024664
1142804291415400
12145478a07802a0
1363ab0022a664c
1428305714b31d6
1511e4e81764529
hex8562ff549d98

146660237024664 has 96 divisors (see below), whose sum is σ = 403091713080000. Its totient is φ = 44433775657920.

The previous prime is 146660237024573. The next prime is 146660237024677. The reversal of 146660237024664 is 466420732066641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9855267 + ... + 19759725.

It is an arithmetic number, because the mean of its divisors is an integer number (4198872011250).

Almost surely, 2146660237024664 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 146660237024664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201545856540000).

146660237024664 is an abundant number, since it is smaller than the sum of its proper divisors (256431476055336).

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

146660237024664 is a wasteful number, since it uses less digits than its factorization.

146660237024664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909589 (or 9909574 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 57.

The spelling of 146660237024664 in words is "one hundred forty-six trillion, six hundred sixty billion, two hundred thirty-seven million, twenty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 5099 10198 15297 20396 30594 40792 56089 61188 112178 122376 168267 224356 336534 448712 616979 673068 1233958 1346136 1850937 2467916 3701874 4935832 7403748 9904459 14807496 19808918 29713377 39617836 59426754 79235672 108949049 118853508 217898098 237707016 326847147 435796196 653694294 871592392 1198439539 1307388588 2396879078 2614777176 3595318617 4793758156 7190637234 9587516312 14381274468 28762548936 50502836441 101005672882 151508509323 202011345764 303017018646 404022691528 555531200851 606034037292 1111062401702 1212068074584 1666593602553 2222124803404 3333187205106 4444249606808 6110843209361 6666374410212 12221686418722 13332748820424 18332529628083 24443372837444 36665059256166 48886745674888 73330118512332 146660237024664