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3150185890432 = 2773216133203
BaseRepresentation
bin101101110101110101101…
…101100000001010000000
3102011011011212112000001111
4231311311231200022000
5403103040041443212
610411101520213104
7443410354156000
oct55656555401200
912134155460044
103150185890432
111004a938a0089
1242a63aa6a194
1319b0a47663a9
14ac681236000
1556e247e1ea7
hex2dd75b60280

3150185890432 has 128 divisors (see below), whose sum is σ = 7322278896000. Its totient is φ = 1349414277120.

The previous prime is 3150185890427. The next prime is 3150185890457. The reversal of 3150185890432 is 2340985810513.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×31501858904322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94859943 + ... + 94893145.

It is an arithmetic number, because the mean of its divisors is an integer number (57205303875).

Almost surely, 23150185890432 is an apocalyptic number.

3150185890432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3150185890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661139448000).

3150185890432 is an abundant number, since it is smaller than the sum of its proper divisors (4172093005568).

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

3150185890432 is an equidigital number, since it uses as much as digits as its factorization.

3150185890432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35399 (or 35373 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 3150185890432 in words is "three trillion, one hundred fifty billion, one hundred eighty-five million, eight hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2161 2744 3136 4322 5488 6272 8644 10976 15127 17288 21952 30254 33203 34576 43904 60508 66406 69152 105889 121016 132812 138304 211778 232421 242032 265624 276608 423556 464842 484064 531248 741223 847112 929684 968128 1062496 1482446 1626947 1694224 1859368 1936256 2124992 2964892 3253894 3388448 3718736 4249984 5929784 6507788 6776896 7437472 11388629 11859568 13015576 13553792 14874944 22777258 23719136 26031152 29749888 45554516 47438272 52062304 71751683 91109032 94876544 104124608 143503366 182218064 208249216 287006732 364436128 502261781 574013464 728872256 1004523562 1148026928 1457744512 2009047124 2296053856 3515832467 4018094248 4592107712 7031664934 8036188496 9184215424 14063329868 16072376992 24610827269 28126659736 32144753984 49221654538 56253319472 64289507968 98443309076 112506638944 196886618152 225013277888 393773236304 450026555776 787546472608 1575092945216 3150185890432