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38070130644 = 223271311620919
BaseRepresentation
bin100011011101001010…
…000001011111010100
310122021011200000102200
4203131022001133110
51110431423140034
625253355004500
72515261525350
oct433512013724
9118234600380
1038070130644
1115166661697
127465739730
1337892c1330
141bb216a460
15ecc378a99
hex8dd2817d4

38070130644 has 72 divisors (see below), whose sum is σ = 118440416640. Its totient is φ = 10040473152.

The previous prime is 38070130639. The next prime is 38070130663. The reversal of 38070130644 is 44603107083.

38070130644 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 0 + 1 + 3 + 0 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38070130599 and 38070130608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5807184 + ... + 5813735.

Almost surely, 238070130644 is an apocalyptic number.

It is an amenable number.

38070130644 is an abundant number, since it is smaller than the sum of its proper divisors (80370285996).

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

38070130644 is a wasteful number, since it uses less digits than its factorization.

38070130644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11620949 (or 11620944 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 38070130644 in words is "thirty-eight billion, seventy million, one hundred thirty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 11620919 23241838 34862757 46483676 69725514 81346433 104588271 139451028 151071947 162692866 209176542 244039299 302143894 325385732 418353084 453215841 488078598 604287788 732117897 906431682 976157196 1057503629 1359647523 1464235794 1812863364 2115007258 2719295046 2928471588 3172510887 4230014516 5438590092 6345021774 9517532661 12690043548 19035065322 38070130644