Search a number
-
+
381309003648 = 27321091303389
BaseRepresentation
bin1011000110001111100…
…10011010011110000000
31100110020002011101011200
411203013302122132000
522221410101104043
6451100531141200
736356123024166
oct5430762323600
91313202141150
10381309003648
11137791aa0181
1261a97744800
1329c5a2018a1
1414653aa3236
159dbaa4a7d3
hex58c7c9a780

381309003648 has 96 divisors (see below), whose sum is σ = 1098265732200. Its totient is φ = 126986081280.

The previous prime is 381309003619. The next prime is 381309003661. The reversal of 381309003648 is 846300903183.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1105138 + ... + 1408526.

Almost surely, 2381309003648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381309003648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549132866100).

381309003648 is an abundant number, since it is smaller than the sum of its proper divisors (716956728552).

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

381309003648 is a wasteful number, since it uses less digits than its factorization.

381309003648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304500 (or 304485 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 381309003648 in words is "three hundred eighty-one billion, three hundred nine million, three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1091 1152 2182 3273 4364 6546 8728 9819 13092 17456 19638 26184 34912 39276 52368 69824 78552 104736 139648 157104 209472 303389 314208 418944 606778 628416 910167 1213556 1256832 1820334 2427112 2730501 3640668 4854224 5461002 7281336 9708448 10922004 14562672 19416896 21844008 29125344 38833792 43688016 58250688 87376032 116501376 174752064 330997399 349504128 661994798 992992197 1323989596 1985984394 2647979192 2978976591 3971968788 5295958384 5957953182 7943937576 10591916768 11915906364 15887875152 21183833536 23831812728 31775750304 42367667072 47663625456 63551500608 95327250912 127103001216 190654501824 381309003648