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2382128207152 = 241731463960899
BaseRepresentation
bin100010101010100001111…
…001111101010100110000
322102201200121111002002021
4202222201321331110300
5303012044310112102
65022200134401224
7334050233446531
oct42524171752460
98381617432067
102382128207152
118392892a8751
12325809b00214
131438313b0855
148341d27a688
1541e708e5137
hex22aa1e7d530

2382128207152 has 80 divisors (see below), whose sum is σ = 5045677056000. Its totient is φ = 1084588508160.

The previous prime is 2382128207149. The next prime is 2382128207153. The reversal of 2382128207152 is 2517028212832.

It is a super-2 number, since 2×23821282071522 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2382128207099 and 2382128207108.

It is not an unprimeable number, because it can be changed into a prime (2382128207153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39085599 + ... + 39146497.

It is an arithmetic number, because the mean of its divisors is an integer number (63070963200).

Almost surely, 22382128207152 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 2382128207152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522838528000).

2382128207152 is an abundant number, since it is smaller than the sum of its proper divisors (2663548848848).

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

2382128207152 is a wasteful number, since it uses less digits than its factorization.

2382128207152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65594 (or 65588 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 2382128207152 in words is "two trillion, three hundred eighty-two billion, one hundred twenty-eight million, two hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 2108 4216 4639 8432 9278 18556 37112 60899 74224 78863 121798 143809 157726 243596 287618 315452 487192 575236 630904 974384 1035283 1150472 1261808 1887869 2070566 2300944 2444753 3775738 4141132 4889506 7551476 8282264 9779012 15102952 16564528 19558024 30205904 32093773 39116048 64187546 128375092 256750184 282510461 513500368 565020922 1130041844 2260083688 4520167376 4802677837 8757824291 9605355674 17515648582 19210711348 35031297164 38421422696 70062594328 76842845392 140125188656 148883012947 297766025894 595532051788 1191064103576 2382128207152