Search a number
-
+
78452844032 = 2937101131313
BaseRepresentation
bin100100100010000100…
…1110110011000000000
321111111111212102000002
41021010021312120000
52241132412002112
6100012444415132
75445064112543
oct1110411663000
9244444772002
1078452844032
11302a9648992
12132558474a8
137523741b04
143b234bc85a
15209275c1c2
hex1244276600

78452844032 has 160 divisors (see below), whose sum is σ = 164347454304. Its totient is φ = 37380096000.

The previous prime is 78452844031. The next prime is 78452844049. The reversal of 78452844032 is 23044825487.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78452844031) 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, 250647908 + ... + 250648220.

Almost surely, 278452844032 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 78452844032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82173727152).

78452844032 is an abundant number, since it is smaller than the sum of its proper divisors (85894610272).

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

78452844032 is a wasteful number, since it uses less digits than its factorization.

78452844032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 47.

The spelling of 78452844032 in words is "seventy-eight billion, four hundred fifty-two million, eight hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 74 101 128 131 148 202 256 262 296 313 404 512 524 592 626 808 1048 1184 1252 1616 2096 2368 2504 3232 3737 4192 4736 4847 5008 6464 7474 8384 9472 9694 10016 11581 12928 13231 14948 16768 18944 19388 20032 23162 25856 26462 29896 31613 33536 38776 40064 41003 46324 51712 52924 59792 63226 67072 77552 80128 82006 92648 105848 119584 126452 155104 160256 164012 185296 211696 239168 252904 310208 328024 370592 423392 478336 489547 505808 620416 656048 741184 846784 956672 979094 1011616 1169681 1240832 1312096 1482368 1517111 1693568 1913344 1958188 2023232 2339362 2481664 2624192 2964736 3034222 3387136 3916376 4046464 4141303 4678724 5248384 5929472 6068444 6774272 7832752 8092928 8282606 9357448 10496768 12136888 15665504 16185856 16565212 18714896 20993536 24273776 31331008 33130424 37429792 48547552 62662016 66260848 74859584 97095104 125324032 132521696 149719168 153228211 194190208 250648064 265043392 299438336 306456422 388380416 530086784 598876672 612912844 776760832 1060173568 1225825688 2120347136 2451651376 4903302752 9806605504 19613211008 39226422016 78452844032