Search a number
-
+
46000004004640 = 255741071432147
BaseRepresentation
bin10100111010110001101011…
…11001011111101100100000
320000212120001101000000112201
422131120311321133230200
522012131002011122030
6241500035441102544
712455250660434230
oct1235306571375440
9200776041000481
1046000004004640
1113725546052244
1251ab138327a54
131c88a216ca26a
14b505aaa2bcc0
1554b8741e62ca
hex29d635e5fb20

46000004004640 has 48 divisors (see below), whose sum is σ = 124200010815552. Its totient is φ = 15771429944064.

The previous prime is 46000004004523. The next prime is 46000004004659. The reversal of 46000004004640 is 4640040000064.

It is a super-3 number, since 3×460000040046403 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 46000004004599 and 46000004004608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20535714954 + ... + 20535717193.

It is an arithmetic number, because the mean of its divisors is an integer number (2587500225324).

Almost surely, 246000004004640 is an apocalyptic number.

46000004004640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46000004004640 is an abundant number, since it is smaller than the sum of its proper divisors (78200006810912).

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

46000004004640 is a wasteful number, since it uses less digits than its factorization.

46000004004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41071432169 (or 41071432161 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 46000004004640 in words is "forty-six trillion, four million, four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 41071432147 82142864294 164285728588 205357160735 287500025029 328571457176 410714321470 575000050058 657142914352 821428642940 1150000100116 1314285828704 1437500125145 1642857285880 2300000200232 2875000250290 3285714571760 4600000400464 5750000500580 6571429143520 9200000800928 11500001001160 23000002002320 46000004004640