Search a number
-
+
4070607246048 = 253737915982721
BaseRepresentation
bin111011001111000011000…
…110010101001011100000
3112102010221121200102210010
4323033003012111023200
51013143100423333143
612354002224204520
7600043304461320
oct73170306251340
915363847612703
104070607246048
11132a375740682
12558ab2169740
13236b19ca7b75
14101038867280
1570d44a6aa33
hex3b3c31952e0

4070607246048 has 96 divisors (see below), whose sum is σ = 12244043669760. Its totient is φ = 1159961886720.

The previous prime is 4070607246019. The next prime is 4070607246049. The reversal of 4070607246048 is 8406427060704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4070607245988 and 4070607246006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4070607246049) 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, 7736673 + ... + 8246048.

It is an arithmetic number, because the mean of its divisors is an integer number (127542121560).

Almost surely, 24070607246048 is an apocalyptic number.

4070607246048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4070607246048 is an abundant number, since it is smaller than the sum of its proper divisors (8173436423712).

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

4070607246048 is a wasteful number, since it uses less digits than its factorization.

4070607246048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15983120 (or 15983112 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 4070607246048 in words is "four trillion, seventy billion, six hundred seven million, two hundred forty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 379 672 758 1137 1516 2274 2653 3032 4548 5306 6064 7959 9096 10612 12128 15918 18192 21224 31836 36384 42448 63672 84896 127344 254688 15982721 31965442 47948163 63930884 95896326 111879047 127861768 191792652 223758094 255723536 335637141 383585304 447516188 511447072 671274282 767170608 895032376 1342548564 1534341216 1790064752 2685097128 3580129504 5370194256 6057451259 10740388512 12114902518 18172353777 24229805036 36344707554 42402158813 48459610072 72689415108 84804317626 96919220144 127206476439 145378830216 169608635252 193838440288 254412952878 290757660432 339217270504 508825905756 581515320864 678434541008 1017651811512 1356869082016 2035303623024 4070607246048