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70638000846 = 23723764310099
BaseRepresentation
bin100000111001001011…
…0100101101011001110
320202022212212020111120
41001302112211223032
52124131312011341
652241201301410
75050322046300
oct1016226455316
9222285766446
1070638000846
1127a593455a6
1211834634866
136879689b4a
1435c1651970
151c86638066
hex10725a5ace

70638000846 has 96 divisors (see below), whose sum is σ = 169062364800. Its totient is φ = 19604337984.

The previous prime is 70638000841. The next prime is 70638000863. The reversal of 70638000846 is 64800083607.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 70638000798 and 70638000807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70638000841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6989505 + ... + 6999603.

It is an arithmetic number, because the mean of its divisors is an integer number (1761066300).

Almost surely, 270638000846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70638000846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84531182400).

70638000846 is an abundant number, since it is smaller than the sum of its proper divisors (98424363954).

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

70638000846 is a wasteful number, since it uses less digits than its factorization.

70638000846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10798 (or 10791 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 70638000846 in words is "seventy billion, six hundred thirty-eight million, eight hundred forty-six", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 643 777 1286 1554 1813 1929 3626 3858 4501 5439 9002 10099 10878 13503 20198 23791 27006 30297 31507 47582 60594 63014 70693 71373 94521 141386 142746 166537 189042 212079 333074 373663 424158 494851 499611 747326 989702 999222 1120989 1165759 1484553 2241978 2331518 2615641 2969106 3497277 5231282 6493657 6994554 7846923 12987314 15693846 18309487 19480971 36618974 38961942 45455599 54928461 90911198 109856922 136366797 240265309 272733594 318189193 480530618 636378386 720795927 954567579 1441591854 1681857163 1909135158 3363714326 5045571489 10091142978 11773000141 23546000282 35319000423 70638000846