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3545331020 = 2257118925867
BaseRepresentation
bin1101001101010001…
…0111010101001100
3100011002011110212022
43103110113111030
524230101043040
61343444425312
7153566550020
oct32324272514
910132143768
103545331020
11155a279740
1282b3a8238
1344667b80a
14258bdc380
1515b3b36b5
hexd351754c

3545331020 has 96 divisors (see below), whose sum is σ = 9386979840. Its totient is φ = 1092579840.

The previous prime is 3545330993. The next prime is 3545331059. The reversal of 3545331020 is 201335453.

3545331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124127 + ... + 149993.

It is an arithmetic number, because the mean of its divisors is an integer number (97781040).

Almost surely, 23545331020 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 3545331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693489920).

3545331020 is an abundant number, since it is smaller than the sum of its proper divisors (5841648820).

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

3545331020 is a wasteful number, since it uses less digits than its factorization.

3545331020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25983 (or 25981 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 3545331020 is about 59542.6823379666. The cubic root of 3545331020 is about 1524.8212306793.

Adding to 3545331020 its reverse (201335453), we get a palindrome (3746666473).

It can be divided in two parts, 354533 and 1020, that added together give a palindrome (355553).

The spelling of 3545331020 in words is "three billion, five hundred forty-five million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 19580 25867 27412 34265 51734 68530 103468 129335 137060 181069 258670 284537 362138 517340 569074 724276 905345 1138148 1422685 1810690 1991759 2302163 2845370 3621380 3983518 4604326 5690740 7967036 9208652 9958795 11510815 16115141 19917590 23021630 25323793 32230282 39835180 46043260 50647586 64460564 80575705 101295172 126618965 161151410 177266551 253237930 322302820 354533102 506475860 709066204 886332755 1772665510 3545331020