Search a number
-
+
2934750323232 = 253671321929193
BaseRepresentation
bin101010101101001100110…
…000000010001000100000
3101101120002210111021000000
4222231030300002020200
5341040332040320412
610124112232300000
7422012564104230
oct52551460021040
911346083437000
102934750323232
11a31691059882
123b4935b41600
131839905b5900
14a208514bcc0
15515161bb4dc
hex2ab4cc02220

2934750323232 has 2016 divisors, whose sum is σ = 11734234646400. Its totient is φ = 704310018048.

The previous prime is 2934750323221. The next prime is 2934750323353. The reversal of 2934750323232 is 2323230574392.

2934750323232 is a `hidden beast` number, since 2 + 9 + 3 + 47 + 50 + 323 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×29347503232322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 15205960128 + ... + 15205960320.

It is an arithmetic number, because the mean of its divisors is an integer number (5820552900).

Almost surely, 22934750323232 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 2934750323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5867117323200).

2934750323232 is an abundant number, since it is smaller than the sum of its proper divisors (8799484323168).

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

2934750323232 is a wasteful number, since it uses less digits than its factorization.

2934750323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 2934750323232 in words is "two trillion, nine hundred thirty-four billion, seven hundred fifty million, three hundred twenty-three thousand, two hundred thirty-two".