Search a number
-
+
97157486832 = 24371373795569
BaseRepresentation
bin101101001111100001…
…0011001100011110000
3100021210001221201020020
41122133002121203300
53042434304034312
6112344502043440
710006440004050
oct1323702314360
9307701851206
1097157486832
113822796096a
12169b5a19580
139214948aa3
1449b9731560
1527d990378c
hex169f0998f0

97157486832 has 160 divisors (see below), whose sum is σ = 289754073600. Its totient is φ = 27479015424.

The previous prime is 97157486831. The next prime is 97157486863. The reversal of 97157486832 is 23868475179.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97157486831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17443344 + ... + 17448912.

It is an arithmetic number, because the mean of its divisors is an integer number (1810962960).

Almost surely, 297157486832 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 97157486832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144877036800).

97157486832 is an abundant number, since it is smaller than the sum of its proper divisors (192596586768).

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

97157486832 is a wasteful number, since it uses less digits than its factorization.

97157486832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6103 (or 6097 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 60.

The spelling of 97157486832 in words is "ninety-seven billion, one hundred fifty-seven million, four hundred eighty-six thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 274 336 379 411 548 758 822 959 1096 1137 1516 1644 1918 2192 2274 2653 2877 3032 3288 3836 4548 5306 5569 5754 6064 6576 7672 7959 9096 10612 11138 11508 15344 15918 16707 18192 21224 22276 23016 31836 33414 38983 42448 44552 46032 51923 63672 66828 77966 89104 103846 116949 127344 133656 155769 155932 207692 233898 267312 311538 311864 363461 415384 467796 623076 623728 726922 762953 830768 935592 1090383 1246152 1453844 1525906 1871184 2110651 2180766 2288859 2492304 2907688 3051812 4221302 4361532 4577718 5340671 5815376 6103624 6331953 8442604 8723064 9155436 10681342 12207248 12663906 14774557 16022013 16885208 17446128 18310872 21362684 25327812 29549114 32044026 33770416 36621744 42725368 44323671 50655624 59098228 64088052 85450736 88647342 101311248 118196456 128176104 177294684 236392912 256352208 289159187 354589368 578318374 709178736 867477561 1156636748 1734955122 2024114309 2313273496 3469910244 4048228618 4626546992 6072342927 6939820488 8096457236 12144685854 13879640976 16192914472 24289371708 32385828944 48578743416 97157486832