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330816930672 = 24329221138839
BaseRepresentation
bin1001101000001100011…
…10011100001101110000
31011121220012102022022210
410310012032130031300
520410003113240142
6411550350532120
732620644341304
oct4640616341560
91147805368283
10330816930672
11118331595448
1254145b07040
1325271523c27
1412023c81d04
158912da649c
hex4d0639c370

330816930672 has 120 divisors (see below), whose sum is σ = 889313576320. Its totient is φ = 105962492160.

The previous prime is 330816930671. The next prime is 330816930679. The reversal of 330816930672 is 276039618033.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330816930671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8498229 + ... + 8537067.

Almost surely, 2330816930672 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 330816930672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444656788160).

330816930672 is an abundant number, since it is smaller than the sum of its proper divisors (558496645648).

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

330816930672 is a wasteful number, since it uses less digits than its factorization.

330816930672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39119 (or 39084 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 330816930672 in words is "three hundred thirty billion, eight hundred sixteen million, nine hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 211 232 348 422 464 633 696 841 844 1266 1392 1682 1688 2523 2532 3364 3376 5046 5064 6119 6728 10092 10128 12238 13456 18357 20184 24476 36714 38839 40368 48952 73428 77678 97904 116517 146856 155356 177451 233034 293712 310712 354902 466068 532353 621424 709804 932136 1064706 1126331 1419608 1864272 2129412 2252662 2839216 3378993 4258824 4505324 6757986 8195029 8517648 9010648 13515972 16390058 18021296 24585087 27031944 32663599 32780116 49170174 54063888 65327198 65560232 97990797 98340348 130654396 131120464 195981594 196680696 237655841 261308792 391963188 393361392 475311682 522617584 712967523 783926376 950623364 1425935046 1567852752 1901246728 2851870092 3802493456 5703740184 6892019389 11407480368 13784038778 20676058167 27568077556 41352116334 55136155112 82704232668 110272310224 165408465336 330816930672